What are the x- and y-intercepts of a line that passes through (5, 18) with a slope of 2?

Question

asked Sep 10, 2019 231k views

1 Answer

Splattne · Answer 1 · 2019-09-16T22:16:53+0000

The point-slope form:

y-y_1=m(x-x_1)

We have the point (5, 18) and m = 2.

Substitute:

y-18=2(x-5)

The slope-intercept form is y = mx + b

$y-18=(2)(x)+(2)(-5)\\y-18=2x-10\qquad|+18\\y=2x+8$

x-intercept:

substitute y = 0 to the equation of the function:

$0=2x+8\qquad|-8\\-8=2x\qquad|:2\\x=-4$

y-intercept:

substitute x = 0 to the equation of the function:

$y=2(0)+8\\y=8$