Question

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

Answer 1

Answer:  $y=2.5x+2.5$

Step-by-step 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:

$m=\frac{y_2-y_1}{x_2-x_1}$

Substituting values, we get:

$m=\frac{0-7.5}{-1-2}\\\\m=2.5$

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:

 $y=2.5x+2.5$