Question

Write the slope-intercept form of the equation for the line. a. y=-8/7x+3/2 b.y= -3/2x+7/8 c.y=-7/8x-3/2 d.y=7/8x+3/2 Write the slope-intercept form of the equation for the line.

Answer 1

Answer:

c)

Step-by-step explanation:

(-4,2)  ; (4,-5)

$Slope=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}\\\\=\frac{-5-2}{4-[-4]}\\\\=\frac{-7}{4+4}\\\\=\frac{-7}{8}$

m = -7/8 ;   (-4,2)

equation: y - y1 = m(x - x1)

$y-2=\frac{-7}{8}(x-[-4])\\\\y-2=\frac{-7}{8}(x+4)\\\\y-2=\frac{-7}{8}x +\frac{-7}{8}*4\\\\y=\frac{-7}{8}x-\frac{7}{2}+2\\\\y=\frac{-7}{8}x-\frac{7}{2}+\frac{4}{2}\\\\y=\frac{-7}{8}x-\frac{3}{2}$