Parallel Lines
Parallel lines always have the same slope and different y-intercepts.
Slope-intercept form:
![y=mx+b](https://img.qammunity.org/2023/formulas/mathematics/high-school/smsb8cbft03lwblmi49nf2l6jby2ofxzws.png)
Solving the Question
We're given:
![3x-5=y](https://img.qammunity.org/2023/formulas/mathematics/college/qm1w9wm3adt1d3gyqhaiyon7lec4nx3b0b.png)
- b = (0,7)
We can see that in
that the slope of the line is 3. Parallel lines have the same slope, so therefore:
m = 3
We're also given that the y-intercept is (0,7).
b = 7
Plug m and b into slope-intercept form:
![y=3x+7](https://img.qammunity.org/2023/formulas/mathematics/high-school/xkjdnqte7iot06nbbo99b6hcskssywr45c.png)
Answer
![y=3x+7](https://img.qammunity.org/2023/formulas/mathematics/high-school/xkjdnqte7iot06nbbo99b6hcskssywr45c.png)