Question

Write the equation in slope-intercept form with the point (2,7.5) with an x intercept of −1.

Answer 1

Answer:
`y=2.5x+2.5`

Explanation:

The equation of the line in Slope-Intercept form is:

`y=mx+b`

Where "m" is the slope and "b" is the y-intercept.

Since we know that the line passes through the point (2,7.5) and (-1,0), we can find the slope with this formula:

`m=(y_2-y_1)/(x_2-x_1)`

Substituting values, we get:

`m=(0-7.5)/(-1-2)\\\\m=2.5`

In order to find the y-intercept, we can substitute the slope and the point (-1,0) into
`y=mx+b` and then solve fo "b":

`0=(2.5)(-1)+b\\\\0=-2.5+b\\\\b=2.5`

Then, the equation of this line in Slope-Intercept form is:

`y=2.5x+2.5`