Slope-Intercept form through: (2,-2) parallel to y=-3/2x+5

Question

I just need a little figuring out slope-intercept form. 

Answer 1

To be parallel, the slope of the graph needs to be the same as provided ( -3/2).  The equation of the line you have is an example of a slope-intercept form where the y-intercept is 5.  All you do is plug in the (2, -2) point into the equation:

 

y₂ - y₁ = m (x₂ - x₁). So,

 

y - (-2) = ( -3/2) (x - 2)

y + 2 = ( -3/2) x + 3

y = ( -3/2) x + 1

Answer 2

Isis, your given equation is in slope-intercept form. To find the new equation, we use the same slope to get a parallel line.

 

y - (-2) = (-3/2)(x - 2)

y + 2 = (-3/2) + 3

y = (-3/2)x + 1