Use the given conditions to write an equation for the line in​ point-slope form and in​ slope-intercept form.

Question

xintercept- -2/5 yintercept- 6

Answer 1

x intercept is -2/5 or the point (-2/5, 0)

y intercept is -6 or the point (0 -6)

those two points have a line thought them with slope = (0- -6)/(-2/5 - 0) = 6/2/5 = 6x-5/2 = -15

the equation of the line through those intercepts is

y=-15x + b, b can be calculated by plugging in either point, either intercept, or just recognize the y intercept = b = -6, given in the problem

then the equation is

y=-15x -6 in slope intercept form