which equation represents a line that passes through (-9, -3) and has a slope of -6?\n○ y - 9 = -6(x - 3)\n○…
which equation represents a line that passes through (-9, -3) and has a slope of -6?\n○ y - 9 = -6(x - 3)\n○ y + 9 = -6(x + 3)\n○ y - 3 = -6(x - 9)\n○ y + 3 = -6(x + 9)
Answer
Explanation:
Step1: Recall point - slope form
The point - slope form of a linear equation is $y - y_1=m(x - x_1)$, where $(x_1,y_1)$ is a point on the line and $m$ is the slope of the line.
Step2: Identify the values of $x_1,y_1$ and $m$
We are given the point $(-9,-3)$ and the slope $m=-6$. So, $x_1=-9$ and $y_1 = - 3$.
Step3: Substitute the values into the point - slope form
Substitute $x_1=-9$, $y_1=-3$ and $m = - 6$ into the point - slope form $y - y_1=m(x - x_1)$. We get $y-(-3)=-6(x - (-9))$. Simplify the left - hand side and the right - hand side: $y + 3=-6(x + 9)$.