Answer:
1. y-intercept = 4 ⇒ slope = [tex]\frac{1}{3}[/tex]
2. y-intercept = -2 ⇒ slope = [tex]-\frac{3}{5}[/tex]
3. y-intercept = 1 ⇒ slope = 4
4. y-intercept = 3 ⇒ slope = [tex]-\frac{3}{2}[/tex]
5. y-intercept = 4 ⇒ slope = 1
Step-by-step explanation:
The slope-intercept form of the linear equation is y = m x + b, where
- m is the slope of the line
Let us solve the questions using the form above
1. y = [tex]\frac{1}{3}[/tex] x + 4
∵ m = [tex]\frac{1}{3}[/tex] and b = 4
∴ y-intercept = 4 ⇒ slope = [tex]\frac{1}{3}[/tex]
2. y = [tex]-\frac{3}{5}[/tex] x - 2
∵ m = [tex]-\frac{3}{5}[/tex] and b = -2
∴ y-intercept = -2 ⇒ slope = [tex]-\frac{3}{5}[/tex]
3. y = 4x + 1
∵ m = 4 and b = 1
∴ y-intercept = 1 ⇒ slope = 4
4. y = [tex]-\frac{3}{2}[/tex] x + 3
∵ m = [tex]-\frac{3}{2}[/tex] and b = 3
∴ y-intercept = 3 ⇒ slope = [tex]-\frac{3}{2}[/tex]
5. y = x + 4
∵ m = 1 and b = 4
∴ y-intercept = 4 ⇒ slope = 1
