posted by delmore

Given a line containing the points(1,4), (2,7) and (3,10) determine that slope-intercept form of the equation, provide one additional point on this line, and graph the funtion.

Start by putting the first point into point-slope form: y-y1=m(x-x1), so y-4=m(x-1). Slope, or m, is y2-y1 over x2-x1. With the first two points, slope=7-4 over 2-1, or 3 over 1, which is 3. The equation is then y-4=3(x-1). After doing basic algebra, the slope-intercept form of the equation is y=3x+1.

Using the slope of 3, add three to the y-value of the last point, (3,10), and 1 to the x-value; you are basically doing the slope equation backwards here. Your new point could be (4,13).

To graph the function, just plot the points you were given; in fact, you only need 2 of them, and then draw your line.

i would say (4,13) or (0,1) depending which direction you want to go.
the way i see it is like this.

for the point (1,4) to get to the next point (2,7) they are going up 1 number on the x coordinate point and 3 on the y coordinate point.I know that theres a formula for this but i can't remember what it is but i just know that you line is a diagnol line.

I just set up two equations and solved them simultaneously.
y = mx + b
substitute points 1,4 and 2,7
eqn 1:   4=m(1)+b
eqn 2:   7=m(2)+b
solve for m and b.
m=3 and b=1
from work done by the two previous posters, both 4,13 and 0,1 are on the line as well as the third point given in the problem of 3,10. And y = 3x+1 is the slope intercept form.
I just thought I would give an alternative method of solving the problem.

Respond to this Question

First Name

Your Answer

Similar Questions

  1. My Daughter Stacy needs help in math plz help!

    You have to find the x and y coordinates:(She doesn't get it and neither do I) 2x + y = 9 The question doesn't go with the equation. I suspect it is a plotting exercise Make a table x y Put in for x 0, 1, 4 Solve for each corresponding …
  2. math

    What happens to y as x gets larger? What happens to x as y gets larger?
  3. Algebra

    Write the equation of the line passing through the given point with the indicated slope. Give your results in slope-intercept form. Point: (0,5) Slope:m=3/5. Show work Well, youknow the form is y= mx+b you are given m. You are given …
  4. math

    i have more than one question so if u no any of the answers please tell me 1.) write the point-slope form of the equation of the line with slope -2 passing through the point ( -5, -9). 2.) write the point-slope form of an equation …
  5. Algebra

    graph the equation x-3=y (where do I plot the points?
  6. algebra

    Use the given conditions to write an equation for the line in point'slope form and slope-intercept form. Slope= -5, passing through (-9,-6) type the point-slope form ot the line Type the slope-intercept form of the line
  7. math - pls check!!!

    Write an equation in point-slope form for the line that passes through one of the following pairs of points (you may choose the pair you want to work with). Then, use the same set of points to write the equation in standard form and …
  8. geometry

    I would love for someone to check my work on the seven problems that I did. I would be eternally grateful. I am going to list my problems and answers. Even if you only want to check one of them, that would be great. 1. Write an equation …
  9. Algebra 2

    Can someone help me with this equation please?
  10. Algebra 1

    Algebra 1 help please :( Use the point-slope from linear equation given to complete the following problems.... y+4=-4(x-2) 1. What is the slope of the given line?

More Similar Questions