Question

Write the slope-intercept form (y=mx+b) of the equation of the line through the given points.​

Answer 1

Answer:
`y = (4)/(5)x-(3)/(5)`

m = 4/5 is the slope

b = -3/5 is the y intercept

====================================

First find the slope

m = (y2 - y1)/(x2 - x1)

m = (-3 - 1)/(-3 - 2)

m = -4/(-5)

m = 4/5

Then use point-slope form

`y - y_1 = m(x - x_1)\\\\y - 1 = (4)/(5)(x - 2)\\\\y - 1 = (4)/(5)x + (4)/(5)(-2)\\\\y - 1 = (4)/(5)x - (8)/(5)\\\\y = (4)/(5)x - (8)/(5) + 1\\\\y = (4)/(5)x - (8)/(5) + (5)/(5)\\\\y = (4)/(5)x + (-8+5)/(5)\\\\y = (4)/(5)x - (3)/(5)\\\\`

The equation is in the form y = mx+b with m = 4/5 as the slope and b = -3/5 as the y intercept.