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Line c has an equation of y=-3/4x-3. Line d is parallel to line c and passes through the points (-2, -2). What is the equation of line d in slope intercept form?

Sagot :

Answer:

y = [tex]\frac{3}{4}[/tex] x - [tex]\frac{7}{2}[/tex]

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 )

y = - [tex]\frac{3}{4}[/tex] x - 3 ← is in slope- intercept form

with slope m = - [tex]\frac{3}{4}[/tex]

Parallel lines have equal slopes , then

y = - [tex]\frac{3}{4}[/tex] x + c ← is the partial equation of line d

to find c substitute (- 2, - 2 ) into the partial equation

- 2 = [tex]\frac{3}{2}[/tex] + c ⇒ c = - 2 - [tex]\frac{3}{2}[/tex] = - [tex]\frac{7}{2}[/tex]

y = - [tex]\frac{3}{4}[/tex] x - [tex]\frac{7}{2}[/tex] ← equation of line d

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