Write an equation in slope-intercept form for a line that is parallel to the given line y = -1/4x + 9 and passes through the given point(-4, 4)

Haiden Meyer

Haiden Meyer

Answered question

2022-10-08

Write an equation in slope-intercept form for a line that is parallel to the given line y = -1/4x + 9 and passes through the given point(-4, 4)

Answer & Explanation

Joel Reese

Joel Reese

Beginner2022-10-09Added 17 answers

Since the line
y = - 1 4 x + 9
is already in slope-intercept form, we know that the slope of the line is - 1 4 .
Two lines are parallel if they have the same slope, so our line will also have slope - 1 4 , which means that it has equation like
y = - 1 4 x + q
Let's impose the passage through (−4,4):
4 = - 1 4 ( - 4 ) + q 4 = 1 + q q = 3
So, the equation is
y = - 1 4 x + 3

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