Question

What is the equation of a line, in Slope Intercept Form, with a slope of 1/2 and passes through the point (4, 0)?

Answer 1

The slope-intercept form:

$y=mx+b$

m - slope

b - y-intercept

We have the slope $m=\dfrac{1}{2}\to y=\dfrac{1}{2}x+b$

and point (4, 0). Substitute:

$0=\dfrac{1}{2}(4)+b$

$0=2+b$       subtract 2 from both sides

$-2=b\to b=-2$

Answer: $y=\dfrac{1}{2}x-2$