use the point - slope form to write an equation of the line with the given slope and point. then write the…

use the point - slope form to write an equation of the line with the given slope and point. then write the equation in slope - intercept form. slope - 8, passes through (-1, 10)

use the point - slope form to write an equation of the line with the given slope and point. then write the equation in slope - intercept form. slope - 8, passes through (-1, 10)

Answer

Explanation:

Step1: Write point - slope form

The point - slope form of a line is $y - y_1=m(x - x_1)$, where $m$ is the slope and $(x_1,y_1)$ is a point on the line. Given $m=-6$, $x_1=-1$ and $y_1 = 10$. Substitute these values into the formula: $y - 10=-6(x+1)$.

Step2: Convert to slope - intercept form

Expand the right - hand side: $y - 10=-6x-6$. Then add 10 to both sides of the equation: $y=-6x + 4$.

Answer:

$y=-6x + 4$