Write the equation of a line, in slope intercept form, that has a slope of 1/2 and passes through the point (6, -3).

Question

asked Sep 2, 2019 87.4k views

1 Answer

Daverocks · Answer 1 · 2019-09-08T12:56:34+0000

The slope-intercept form:

y=mx+b

m - slope

b - y-intercept

We have the slope

$m=(1)/(2)\to y=(1)/(2)x+b$

Put the coordinates of the point (6, -3) to the equation of the line:

$-3=(1)/(2)(6)+b\\\\-3=3+b\qquad\text{subtract 3 from both sides}\\\\-6=b\to b=-6$

Answer:
y=(1)/(2)x-6