Question

P what equation in slope-intercept form represents the line that passes through the points (3,5) and (-9,2)

Answer 1

`y =(1)/(5)x+(22)/(5)`

Explanation:

To write the equation of a line, use the slope formula to first find the slope.

`m=(y_2-y_1)/(x_2-x_1)=(5-2)/(3--9)=(3)/(3+12)=(3)/(15)=(1)/(5)`

Substitute m=1/5 and the point (3,5) into point slope formula.

`y-y_1 = m(x-x_1)\\y-5=(1)/(5)(x-3)\\y-5=(1)/(5)x -(3)/(5)\\y =(1)/(5)x+(22)/(5)`