Rewrite the following equation in slope-intercept form.
\[
y+4=-10(x-9)
\]

Answer

Expert–verified

Hide Steps

Answer

\(\boxed{y = -10x + 86}\) is the equation in slope-intercept form.

Steps

Step 1 ：Given the equation \(y+4=-10(x-9)\).

Step 2 ：The slope-intercept form of a linear equation is given by \(y = mx + b\), where \(m\) is the slope and \(b\) is the intercept.

Step 3 ：To rewrite the given equation in slope-intercept form, we need to isolate \(y\) on one side of the equation.

Step 4 ：This can be done by distributing -10 on the right side of the equation to get \(y + 4 = -10x + 90\).

Step 5 ：Then, subtract 4 from both sides to isolate \(y\), resulting in \(y = -10x + 86\).

Step 6 ：\(\boxed{y = -10x + 86}\) is the equation in slope-intercept form.