Math

1. Find the slope of the line that passes through the
points (-1, 2), (0, 5).

2. Suppose y varies directly with x, and y = 15 and x = 5.
Write a direct variation equation that relates x and y.
What is the value of y when x = 9?

3. Write an equation in slope-intercept form of the line
that passed through (-3, 4) and (1. 4).

4. Use point-slope form to write the equation of a line
that has a slope of 2/3
and passes through (-3, -1).
Write your final equation in slope-intercept form.

5. Write the equation in standard form using integers
(no fractions or decimals): = −2/3 − 1

I'm NOT asking for answers. I'm simply asking for someone to explain the concepts of these because I don't understand at all

  1. 👍
  2. 👎
  3. 👁
  4. ℹ️
  5. 🚩
  1. #1 the slope of a line is the change in y, divided by the change in x. You can pick any two points on the line. Then just apply the formula you have:

    slope = (y2-y1)/(x2-x1)

    which divides y-change by x-change

    #2 y varies directly with x, means that
    y = kx
    for some value of k. Or, you can see that this means that

    y/x = k

    is a constant for any two values of x and y involved. So, you want y such that

    y/9 = 15/5

    You don't even need to know what k is, though clearly k=3 in this problem.

    #3 y = mx+b
    So, just plug in your two points to get two equations to solve for m and b. However, see #4 if you want to see another way. (it uses #1 to find the slope)

    #4 Since the slope of a line is constant, it is the same between any two points on the line. In particular, if one of the points is (-3,-1) and the other is any (x,y) we have (from #1)

    [y-(-1)]/[x-(-3)] = 2/3
    Or, as it is more usually written,
    y+1 = 2/3 (x+3)

    By now you should see how all these problems use the idea of slopes and points on lines.

    #5 I can't tell; something's missing. But whatever form you come up with, just rearrange the terms to standard form by clearing fractions. For example,

    y = -2/3 x - 1 can be rearranged via
    3y = -2x-3
    2x + 3y = -3

    1. 👍
    2. 👎
    3. ℹ️
    4. 🚩
  2. OHHHHHHHH ok that makes so much more since, THANK YOU SO MUCH Steve

    1. 👍
    2. 👎
    3. ℹ️
    4. 🚩
  3. If u guys are from Connexus ALEGRBA 1A UNIT 6 LESSON 6 Parallel and Perpendicular Lines practice is use this.
    D
    C
    D
    B
    D
    B
    A
    C
    B
    C
    GOOD LUCK!
    EZ A

    1. 👍
    2. 👎
    3. ℹ️
    4. 🚩
  4. Find the slope of a line that passes through the point (3,5) and (–6,–10)

    1. 👍
    2. 👎
    3. ℹ️
    4. 🚩
  5. this is U6L9 not U6L6

    1. 👍
    2. 👎
    3. ℹ️
    4. 🚩

Respond to this Question

First Name

Your Response

Similar Questions

  1. math

    1. What is the slope of the line that passes through the points (-2, 5) and (1, 4)? a) -3 b) -2 c) -1/3 d) 1/3*** 2) a line has slope -5/3. Through which two points could this line pass? a) (12, 13),(17, 10) b) (16, 15), (13,

  2. math, help please !

    use the following instructions for problems 1 and 2: for a right triangle with legs a and b and hypotenuse c, find the missing side length. round your answer to the nearest tenth, if necessary. 1. a = 5;b = 10 - 3.9 -11.2 -8.7

  3. Algebra

    Please Check My Anwsers What is the slope of the line in the graph show below? /content/media/390571-1122011-42500-PM-1076804072.png A) -2 B) -1 C) 1 (My Choice) D) 2 Find the slope of a line that passes through (–2, –3) and

  4. Algebra

    Find the value of x so that the line passes through the points (2,3) and (x,9) and has a slope of 3/2. I'm clueless!

  1. algebra

    Consider the scatter plot shown. Which shows the line of best fit? Explain your reasoning. A scatter plot is shown in the xy-plane. The values on the x-axis range from 0 to 9 in increments of 1 and the values on the y-axis range

  2. Math

    Write an equation of the line that passes through the given points. (-1,5) and (2,-7) The equation is ___. Here's what, I did: Slope = rise/run = y2 - y1/ x2 - x1, where x2 - x1 # 0 Substitute the coordinates of the points into

  3. Algebra

    1.Tell whether the sequence is arithmetic. If it is, what is the common difference? -19,-11,-3,5... A.yes;5 B.yes;6 C.yes;8 D.no 2.What is the slope of that passes through the pair of points? (-6,8),(2,3) A.-3/8 B.-1/8 C.-7/8

  4. Math

    1) Use the point on the line and the slope m of the line to find three additional points through which the line passes. (There are many correct answers.) (1, 6), m is undefined the options for 2 are a) (1, -2), (-1, -2), (-2, -2)

  1. Math(check)

    1)Find the range of the relation [(-1,4)},(2,5),(3,5)}.Then determine whether the relation is a funtion. 4,5,5 is the range 4,5 is a function 2)Find f(-1),if f(x)= x^2-6x/x+2 (-1)^2-6(-1)/-1+2 1+6/-1+2 7/1 =7 3)Find f(a),if f(t)=

  2. calculus

    On the graph of f(x)=6sin(8πx), points P and Q are at consecutive lowest and highest points with P occuring before Q. Find the slope of the line which passes through P and Q.

  3. math

    For 1-10, determine whether the lines are parallel, perpendicular or neither. One line passes through the points (-1, 4) and (2, 6); another line passes through the points (2, -3) and (8, 1). One line passes through the points (4,

  4. math

    Find the value of r so the line that passes through each pair of points has the given slope: (12,10), (-2,r), m=-4

View more similar questions or ask a new question.