Question

identify the coordinates of four points on the line with each given slope and y-intercept. slope= 1.5, y-intercept= -3

Answer 1

The slope-intercept form:

$y=mx+b$

m - slope

b - y-intercept

We have the slope = 1.5 and y-intercept b = -3. Substitute:

$y=1.5x-3$

Choose any value of x and calculate y:

for x = -2

$y=1.5(-2)-3=-3-3=-6\to(-2,\ -6)$

for x = -1

$y=1.5(-1)-3=-1.5-3=-4.5\to(-1,\ -4.5)$

for x = 0

$y=1.5(0)-3=0-3=-3\to(0,\ -3)$

for x = 1

$y=1.5(1)-3=1.5-3=-1.5\to(1,\ -1.5)$

for x=2

$y=1.5(2)-3=3-3=0\to(2,\ 0)$

Answer: (-2, -6); (-1, -4.5); (0, -3); (1, -1.5); (2, 0)