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

c)

Explanation:

(-4,2) ; (4,-5)

`Slope=(y_(2)-y_(1))/(x_(2)-x_(1))\\\\=(-5-2)/(4-[-4])\\\\=(-7)/(4+4)\\\\=(-7)/(8)`

m = -7/8 ; (-4,2)

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

`y-2=(-7)/(8)(x-[-4])\\\\y-2=(-7)/(8)(x+4)\\\\y-2=(-7)/(8)x +(-7)/(8)*4\\\\y=(-7)/(8)x-(7)/(2)+2\\\\y=(-7)/(8)x-(7)/(2)+(4)/(2)\\\\y=(-7)/(8)x-(3)/(2)\\`