graph this line: y - 6 = -4(x + 8) click to select points on the graph.

Explanation:

Step1: Rewrite in slope - intercept form

First, expand the right - hand side of the equation $y - 6=-4(x + 8)$. Using the distributive property $a(b + c)=ab+ac$, we get $y-6=-4x-32$. Then, add 6 to both sides of the equation: $y=-4x-32 + 6$, so $y=-4x-26$.

Step2: Find the y - intercept

The y - intercept is the value of y when $x = 0$. Substitute $x = 0$ into $y=-4x-26$, we get $y=-26$. So the y - intercept is the point $(0,-26)$.

Step3: Find the x - intercept

The x - intercept is the value of x when $y = 0$. Set $y = 0$ in $y=-4x-26$, then $0=-4x-26$. Add $4x$ to both sides: $4x=-26$, and $x=-\frac{26}{4}=-\frac{13}{2}=-6.5$. So the x - intercept is the point $(-6.5,0)$.

Step4: Plot the points and draw the line

Plot the y - intercept $(0,-26)$ and the x - intercept $(-6.5,0)$ on the coordinate plane. Then draw a straight line passing through these two points.

Answer:

Plot the points $(0,-26)$ and $(-6.5,0)$ and draw a straight line through them.