Question

A line passes through the points (-10, -4) and (-1,2). What is the slope of the line that passes through the two points?
What is the y-intercept?

Answer 1

\[m = \frac{ y_2 - y_1 }{ x_2 - x_1 }\]

You have 2 points

(-10, -4) and (-1,2)
(x1 , y1) (x2,y2)

plug those in and solve for the slope

Answer 2

we can solve this by using the slope formula:
\[m=\frac{ y2-y1 }{ x2-x1 }\]
this gives us our slope

to find the y-intercept, we should first find the equation for the line with point slope form:
\[y-y1=m(x-x1)\]

once you substitute terms, just solve for y.