Identify the slopes and y-intercepts of the linear equations below:
a) y=-2x-8
b) y=3
c) x=9
d) y=x
e) 2x+3y=5
a) y= -2x-8
Slope = -2
y intercept = -2(0) - 8 = -8
x intercept ....set y to 0 .... 0 = -2x - 8 add 8 to both sides ..... 8 = -2x divide both sdes by -2
x = -4
b) y=3
Slope = 0
y intercept = 3
No x intercept
c) x=9
slope = undefined
no y interceprt
x intercept = 9
d) y=x
Slope = 1
x intercept, intercept = 0
e) 2x+3y=5 get y by itself ... subtract 2x ffrom both sides ......3y = -2x + 5 ....divide both sides by 3
y = (-2/3)x + 5/3
Slope = (-2/3)
y intercept = 5/3
x intercept .....2x + 3(0) = 5 ........2x = 5 ...... divide both sides by 2......x = 5/2