Question

Write the equation of the line, with the given properties, in slope-intercept form. Slope = -3, through (-5,2)

Answer 1

slope is m = -3

the equation of line will be

$y-y_1=m(x-x_1)$

put m = -2 & x1 = - 5 and y1 = 2 because it passing from point (-5,2)

$y-2=-3(x-(-5))$

y - 2 = -3 (x + 5)

y - 2 = -3x - 15

y = -3x -15 + 2

y = -3x - 13