MATH SOLVE

3 months ago

Q:
# Which of the following is the equation of the line that passes through (-1,3) and (-5,1)? A. y = 2x - 7B. y = 2x + 5C. y = 1/2x - 5/2D. y = 1/2x + 7/2

Accepted Solution

A:

Answer:D. y = ½x + 7⁄2Step-by-step explanation:First, find the rate of change [slope]:-y₁ + y₂\-x₁ + x₂ = m[tex]\frac{-3 + 1}{1 - 5} = \frac{-2}{-4} = \frac{1}{2}[/tex]Plug the coordinates into the Slope-Intercept Formula instead of the Point-Slope Formula since you get it done faster that way. It does not matter which ordered pair you choose:1 = -½[5] + b -2½3½ = by = ½x + 7⁄2__________________________________________________________3 = ½[-1] + b -½3½ = by = ½x + 7⁄2* You see? I told you it did not matter which ordered pair you choose because you will always get the exact same result.I am joyous to assist you anytime.** 3½ = 7⁄2