Look at the pictures.
The slope-intercept form:
[tex]y=mx+b[/tex]
m - slope [tex]\to m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]
b - y-intercept
(1)
x-intercept = 4
y-intercept = 4 → b = 4
We have the points (0, 4) and (4, 0). Substitute:
[tex]m=\dfrac{0-4}{4-0}=\dfrac{-4}{4}=-1[/tex]
Slope = -1
Equation: y = -x + 4
(2)
x-intercept = 6
y-intercept = -4 → b = -4
We have the points (0, 6) and (-6, 0). Substitute:
[tex]m=\dfrac{0-6}{-6-0}=\dfrac{-6}{-6}=1[/tex]
Slope = 1
Equation: y = x - 4
(3)
x-intercept = 5
y-intercept = -3 → b = -3
We have the points (5, 0) and (0, -3). Substitute:
[tex]m=\dfrac{-3-0}{0-5}=\dfrac{-3}{-5}=\dfrac{3}{5}[/tex]
Slope = [tex]\dfrac{3}{5}[/tex]
Equation: [tex]y=\dfrac{3}{5}x-3[/tex]
