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4 years ago

write an equation in slope intercept form for the line that passes through ( 4, -4) and is parallel to 3 + 4x = 2y - 9

Mathematics

1 answer:

Kruka [31]4 years ago

4 0

Answer:

y = 2x - 12

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Rearrange 3 + 4x = 2y - 9 into this form

add 9 to both sides

12 + 4x = 2y ( divide all terms by 2 )

6 + 2x = y ← in slope- intercept form

with slope m = 2

• Parallel lines have equal slopes, hence

y = 2x + c ← is the partial equation of the parallel line

To find c substitute (4, - 4) into the partial equation

- 4 =8 + c ⇒ c = - 4 - 8 = - 12

y = 2x - 12 ← equation of parallel line

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write an equation in slope intercept form for the line that passes through ( 4, -4) and is parallel to 3 + 4x = 2y - 9​

write an equation in slope intercept form for the line that passes through ( 4, -4) and is parallel to 3 + 4x = 2y - 9