Question

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

Answer 1

Answer:

$y =\frac{1}{5}x+\frac{22}{5}$

Step-by-step explanation:

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

$m=\frac{y_2-y_1}{x_2-x_1}=\frac{5-2}{3--9}=\frac{3}{3+12}=\frac{3}{15}=\frac{1}{5}$

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

$y-y_1 = m(x-x_1)\\y-5=\frac{1}{5}(x-3)\\y-5=\frac{1}{5}x -\frac{3}{5}\\y =\frac{1}{5}x+\frac{22}{5}$