Write the equation of the line that passes through each pair of points.?

Question

1. (6,0) (0,2)
2. (-2,0)(-1,-3)
3. (1,2)(5,8)
4. (6,6)(3,2)
5. (0,4)(-2,0)
6. (-2,3)(1,5)
7. (-2,7)(2,1)
8. (6,6)(8,3)

Answer 1

1) y = -1/3 x + 2
2) y -= -1/3 x - 6
3) y = 3/2 x + .5

Answer 2

Erik, I'll show you how to do the third problem. Then just follow the same procedure for the rest.

An equation for a line has the form y=mx+b, where m is the slope of the line, and b is the y-intercept.
Calculate the slope by comparing the two points.
m = (change in y)/(change in x)
= (8-2)/(5-1)
= 1.5

The y-intercept is the value of y when x=0. I'm going to create a new data point (0,y) based on a point I already know and the slope that I just calculated.
m=1.5=(change in y)/(change in x)
= (2-y)/(1-0)
= 2-y
1.5=2-y means y =0.5. So the y-intercept is 0.15 and the equation for the line is y=2x+0.5

Answer 3

hey, i not gonna do it for you, but i'll explain how to do it.

find the slope using the slope formula. change in y divided by change in x, so for example, in #1 slope is 2/-6 or -1/3

then you can pick a point, and use point slope.

that formula is y-(y1)= slope(X-(x1)
example #1 Y-0= -1/3(X-6)

repeat this for each problem