Match the equation of the line with the point it contains and its slope.
-$y + 4 x = 9$
A) $( - 4,7 ) , m = 4$
B) $( 4 , - 7 ) , m = - 4$

Question

Match the equation of the line with the point it contains and its slope.
-$y + 4 x = 9$ 
A) $( - 4,7 ) , m = 4$ 
B) $( 4 , - 7 ) , m = - 4$

Quizplus · Accepted Answer

To find the slope-intercept form of the equation, we need to isolate y.

\begin{align*}
y + 4x &= 9 \
y &= -4x + 9 \
\end{align*}

So the slope of line is -4.

Now, we can plug in one of the given points and solve for the y-intercept.

\begin{align*}
y &= -4x + b \
-7 &= -4(4) + b \
b &= -7 + 16 \
b &= 9 \
\end{align*}

So the equation of the line is:

\begin{align*}
y &= -4x + 9 \
\end{align*}

This matches choice B: $( 4 , -7 ) , m = - 4$

Match the Equation of the Line with the Point It y+4x=9y + 4 x = 9y+4x=9