# maths

Find the gradient of the straight line that passes through the points (3,6) and (-5,-2) and hence find the equation of the line, clearly showing each step of your method

1. 👍
2. 👎
3. 👁
1. points (3,6) and (-5,-2)

Slope m = (y2 - y1)/(x2 - x1)
m = (-2 - 6)/(-5 - 3)
m = -8/-8 = 1

Slope-intercept form of the equation,
y = mx + b,
where m = slope and b = y-intercept

To find the y-intercept, Use either point to substitute into the equation,
y = mx + b

P (3,6), m = 1
y = mx + b
6 = 1(3) + b
6 = 3 + b
b = 3

Therefore, the equation where m = 1 and b = 3 is,
y = 1x + 3
y = x + 3

1. 👍
2. 👎
2. Thanks!

1. 👍
2. 👎
3. Thanks! I'm covering maths classes so it's annoying not knowing how to explain and mark work

we are trying to find out how to use the equation to determine whether or not the point (-3,2) lies on this line?

the x-intercept and the y-intercept of the line in the first question and the kids have to show each step of their method clearly.

1. 👍
2. 👎

## Similar Questions

1. ### 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

2. ### 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

3. ### Math

The staright line L passes through the points A(-1,4) and B(5,8). a. Calculate the gradient of L b. Find the equation of L c. The Line L also passes through the point P(8,y). Find the value of y.

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. ### WHOEVER HELPS ME WILL BE NAMED THE BOB

Question 10 of 19 Which graph represents the linear function y = 1/4x – 3? A. A line on a graph passes through the (-4, -4), (0, -3), and (4, -2). B. A line on a graph passes through the (-4, -2), (0, -3), (4, -4). C. A line on

2. ### math

A line L1 passes through point (1, 2) and has gradient of 5. Another line L2, is perpendicular to L2 and meets it at a point where x = 4. Find the equation for L2 in the form of y = mx + c

3. ### math

the straight L has gradient 3 and passes through the point A(-6,4). a) find an equation for L in the form y=mx+c b) straight line R has the equation in the form of -7y+x+14=0. Given that R crosses the y-axis at the point B and

4. ### Math

A straight line x/a -y/b =1 passes through the point (8,6) and cuts off a triangle of area 12 units from the axes of coordinates .find the equation of straight line

1. ### Maths: Intergration

The curve with equation y = ax^2 + bx + c passes through the points P(2,6) abd Q(3,16), and has a gradient of 7 at the point P. Find the values of the constants a,b and c. Thanks!

2. ### Math

*The straight line, L1, has an equation y= -2x+5 1.) Write down the gradient of L1 2.) Line 2, is perpendicular to L1, and passes through the point (4,5). a. Write down the gradient of L2 b. Find the equation of L2. 3.) Line 2, is

3. ### Math

A line passes through the points (1,2) and (5,3). Another line passes through the points (5,3) and (0,0). Will the two lines intersect? Explain your reasoning.

4. ### mathematics

a straight line passes through p(-1,1) and q(3,4) a) find the length of line pq b) find the equation of the perpendicular bisector of the line pq leaving it in the form y=mx+c c) determine the equation of line to line pq and