Answer:
1. y-intercept = 4 ⇒ slope =
![(1)/(3)](https://img.qammunity.org/2021/formulas/mathematics/middle-school/ykdkxxvb0vy4uekf2qgigigcflq5pi94b6.png)
2. y-intercept = -2 ⇒ slope =
![-(3)/(5)](https://img.qammunity.org/2021/formulas/mathematics/high-school/nhsdm35vx88870rjisz2hhhuyy0zv55hi0.png)
3. y-intercept = 1 ⇒ slope = 4
4. y-intercept = 3 ⇒ slope =
![-(3)/(2)](https://img.qammunity.org/2021/formulas/mathematics/middle-school/nsd2014gv1vg0h7cxk9u6wfr2t82y7v8r7.png)
5. y-intercept = 4 ⇒ slope = 1
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 =
x + 4
∵ m =
and b = 4
∴ y-intercept = 4 ⇒ slope =
![(1)/(3)](https://img.qammunity.org/2021/formulas/mathematics/middle-school/ykdkxxvb0vy4uekf2qgigigcflq5pi94b6.png)
2. y =
x - 2
∵ m =
and b = -2
∴ y-intercept = -2 ⇒ slope =
![-(3)/(5)](https://img.qammunity.org/2021/formulas/mathematics/high-school/nhsdm35vx88870rjisz2hhhuyy0zv55hi0.png)
3. y = 4x + 1
∵ m = 4 and b = 1
∴ y-intercept = 1 ⇒ slope = 4
4. y =
x + 3
∵ m =
and b = 3
∴ y-intercept = 3 ⇒ slope =
![-(3)/(2)](https://img.qammunity.org/2021/formulas/mathematics/middle-school/nsd2014gv1vg0h7cxk9u6wfr2t82y7v8r7.png)
5. y = x + 4
∵ m = 1 and b = 4
∴ y-intercept = 4 ⇒ slope = 1