Find an equation for the line with the given properties.
-Passing through $( 5 , - 4 )$ and parallel to the line whose equation is $y = - 2 x + 4$; slope-intercept form
A) $y = - 2 x + 6$
B) $y = 2 x - 6$
C) $y = - 2 x - 6$
D) $y = - \frac { 1 } { 2 } x - 3$

Question

Quizplus · Accepted Answer

Lines that are parallel have the same slope. The given line has a slope of -2, so the new line will also have a slope of -2. Using the point-slope form of a line, $y - y_1 = m(x - x_1)$, where $m$ is the slope and $(x_1, y_1)$ is a point on the line, we substitute $m = -2$, $x_1 = 5$, and $y_1 = -4$. Simplifying, we get $y + 4 = -2(x - 5)$, which simplifies to $y = -2x + 10 - 4$, or $y = -2x + 6$.

Find an Equation for the Line with the Given Properties (5,−4)( 5 , - 4 )(5,−4)

Find an Equation for the Line with the Given Properties $( 5 , - 4 )$