Answer: y = [tex]\frac{-3x}{4}[/tex] + [tex]\frac{5}{4}[/tex]
Step-by-step explanation:
Using the formula for finding equation of a line :
[tex]\frac{y_{2} - y_{1} }{x_{2}- x_{1}}[/tex] = [tex]\frac{y - y_{1} }{x - x_{1} }[/tex]
From the question:
X1 = 7
X2 = -1
Y1 = -4
Y2 = 2
Substituting into the formula , we have
[tex]\frac{2 - (-4)}{-1 - 7}[/tex] = [tex]\frac{y - (-4)}{x - 7}[/tex]
⇒ [tex]\frac{6}{-8}[/tex] = [tex]\frac{y+4}{x - 7}[/tex]
[tex]\frac{-3}{4}[/tex] = [tex]\frac{y+4}{x - 7}[/tex]
4( y + 4) = -3 ( x - 7)
4y + 16 = -3x + 21
4y = - 3x + 21 - 16
4y = - 3x + 5
y = -3x/4 + 5/4
