Question

Can you please give me a step by step? thank you!

Answer 1

Answer: y=
`(-3)/(2)`x+2

Explanation:

1. Find the slope of the two coordinates by using the slope-intercept form:

Slope intercept form=(y₂-y₁)/(x₂-x₁)

(-4-5)/(4-(-2))

(-9)/(4+2)

-9/6 or -3/2

2. Now that we have the slope for these two coordinates, plug them into the point-slope formula.

Equation for point-slope: y-y₁=m(x-x₁), where m=slope

y-5=
`(-3)/(2)`(x-(-2)

y-5=
`(-3)/(2)`(x+2)

y-5=
`(-3)/(2)`x-
`(6)/(2)`

y-5=
`(-3)/(2)`x-3

(Add 5 to both sides)

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

Answer 2

-3/2x +2

Explanation:

To find slope: y value - y value over x value - x value

5-(-4) = 9

-2 -4 = -6

9/-6 = -3/2 after you divide each by gcf of 3

y intercept : plug in your y and x values (and your slope ) into the equation: y = mx+b (slope intercept form)

point 1 (-2,5): 5 = (-3/2)(-2)+b

5 = 3+b (subtract 3 from both sides)

2 = b (your y intercept)