Question

Find the slope and y-intercept of the following equation 4,7 5,12

Answer 1

Slope: 5

Y-intercept: -13

Explanation:

To find the slope with 2 given points, we use the formula
`(y_(2) -y_(1) )/(x_(2) -x_(1) )`.

We plug our points into this formula to get:

`(12-7)/(5-4) =(5)/(1) =5`. The slope of the equation is 5.

To find our y-intercept, we can use the slope-intercept form and any point we are given.

Slope-intercept form: y=mx+b

m (slope)=5

x=4 (can also use 5)

y=7 (can also use 12)

You can also choose to use the point (5, 12). It doesn't really matter because you'll end up with the same y-intercept.

7=5(4)+b

7=20+b

-13=b

The y-intercept of the equation is -13.