Question

What is the equation of a line, in Slope Intercept Form, with a slope of 1/3 and passes through the point (9, 7)?

Answer 1

The slope-intercept form:

$y=mx+b$

m - slope

b - y-intercept

We have the slope $m=\dfrac{1}{3}\to y=\dfrac{1}{3}x+b$

and point (9, 7). Substitute:

$7=\dfrac{1}{3}(9)+b$

$7=3+b$      subtract 3 from both sides

$4=b\to b=4$

Answer: $y=\dfrac{1}{3}x+4$