Answer: y=[tex]\frac{-3}{2}[/tex]x+2
Step-by-step 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=[tex]\frac{-3}{2}[/tex](x-(-2)
y-5=[tex]\frac{-3}{2}[/tex](x+2)
y-5=[tex]\frac{-3}{2}[/tex]x-[tex]\frac{6}{2}[/tex]
y-5=[tex]\frac{-3}{2}[/tex]x-3
(Add 5 to both sides)
y=[tex]\frac{-3}{2}[/tex]x+2
