What is the equation of a line that passes through the points (2,3) and (-6,1)

y = 1/4 x + 5/2

Step-by-step explanation:

first we need to find the slope which is difference of the y's over difference of the x's. so (3-1)/(2-(-6)). ---> 2/8 ---> 1/4. the slope is 1/4.

pick one of the coordinates and plug in the y and x, solving for the y intercept. so:

3=1/4 * 2 + a

3=1/2 + a

a = 3 - 1/2

a = 5/2

so:

y = 1/4 x + 5/2

f

step-by-step explanation:

f