Question

Write the equation of a line in slope - intercept form using m=2 and (-1,5)

Answer 1

The slope-intercept form:

$y=mx+b$

m - slope

b - y-intercept

We have the slope $m=2\to y=2x+b$.

Put the coordinates of the point (-1, 5) to the equation of the line:

$5=2(-1)+b$

$5=-2+b$       add 2 to both sides

$7=b\to b=7$

Answer: $y=2x+7$