Question

What is the slope-intercept equation of the line containing the points (–5, 22) and (4, 49) ?

Answer 1

`y=3x+37`

Explanation:

Determine slope:

`Slope=m=(\Delta y)/(\Delta x)=(y_2-y_1)/(x_2-x_1)=(49-22)/(4-(-5))=(27)/(4+5)=(27)/(9)=3`

Determine y-intercept:

`y=mx+b`

`49=3(4)+b`

`49=12+b`

`37=b`

Final equation:

`y=3x+37`