writing parrallel equations hw

Question

through (2,-5) parallel to y=-7/2x+3

Answer 1

Parallel lines have the same slope. So the slope of the line will be -7/2. Using the formula y - y₁ = m(x -x₁),

y-(-5) = -7/2(x -2)

y + 5 = -7/2x + 7

y = -7/2x -+2

Answer 2

The equation of a parallel has the same slope but a different y-intercept.

In the question, the slope is -7/2 and the y-intercept is 3. So the equation for a parallel line would look like

y= -7/2 x + b.

To figure out b, plug in the x and y they give you. -5 = -7/2 (2) + b. So b = 2.

The parallel equation is y = -7/2x + 2.