a line has a slope of 9 and passes through the point (-1, -14). write its equation in slope - intercept…

Answer:

$y = 9x - 5$

Explanation:

Step1: Recall slope - intercept form

The slope - intercept form of a line is $y=mx + b$, where $m$ is the slope and $b$ is the y - intercept. Given $m = 9$, so the equation is $y=9x + b$.

Step2: Substitute the point into the equation

Substitute $x=-1$ and $y = - 14$ into $y=9x + b$. We get $-14=9\times(-1)+b$.

Step3: Solve for $b$

First, simplify the right - hand side: $-14=-9 + b$. Then add 9 to both sides: $b=-14 + 9=-5$.

Step4: Write the final equation

Substitute $b=-5$ back into $y=9x + b$. The equation of the line is $y = 9x-5$.