Question

Given the points (-2, 1) and (0,5) find the following:a. slope =b. y-intercept=c. equation:write the equation in the form y=mx+b

Answer 1

Determine the slope of line passing through points (-2,1) and (0,5).

`\begin{gathered} m=(5-1)/(0-(-2)) \\ =(4)/(2) \\ =2 \end{gathered}`

Slope is 2.

The y-intercept is y-coordinate of point at which line intersects the y-axis. So line intersects the y axis at (0,5). The y-intercept is 5.

The general equation of line with slope m and y-intercet b is,

`y=mx+b`

Substitute the values in the equation to determine the equation of line.

`y=2x+5`

So equation is y = 2x +5.