Question

What is the equation of a line, in Slope Intercept Form, with a slope of 4 and passes through the point (1, 6)?

Answer 1

The slope-intercept form:

$y=mx+b$

m - slope

b - y-intercept

We have the slope m = 4 → $y=4x+b$

and point (1, 6). Substitute:

$6=4(1)+b$

$6=4+b$     subtract 4 from both sides

$2=b\to b=2$

Answer: y = 4x + 2