Write an equation for the line described. Write the equation in the form specified.
-parallel to y + 5x = 4, through (3, 5); slope-intercept form
A) $y = - 5 x - 20$
B) $y = - 5 x + 20$
C) $y = - \frac { 1 } { 5 } x - 4$
D) $y = 5 x - 20$

Question

Write an equation for the line described. Write the equation in the form specified.
-parallel to y + 5x = 4, through (3, 5); slope-intercept form 
A) $y = - 5 x - 20$
B) $y = - 5 x + 20$
C) $y = - \frac { 1 } { 5 } x - 4$
D) $y = 5 x - 20$

Quizplus · Accepted Answer

First, we find the slope of the given line by rearranging it into slope-intercept form (y = mx + b), which gives us y = -5x + 4. This means the slope (m) is -5. A line parallel to this one will have the same slope. Using the point (3, 5) and the slope -5, we use the point-slope form (y - y1 = m(x - x1)) and convert it to slope-intercept form (y = mx + b), resulting in y = -5x + 20.

Write an Equation for the Line Described y=−5x−20y = - 5 x - 20y=−5x−20

Write an Equation for the Line Described $y = - 5 x - 20$