Answer:
y = 4x - 9
Step-by-step explanation:
slope intercept form:
- y = mx + b [where m is slope, b is y-intercept]
In the given equation y = 4x - 7, the slope is 4 and y-intercept is -7.
If the equation's are parallel to each other, the slopes are same.
![\sf m_1 = m_2](https://img.qammunity.org/2023/formulas/mathematics/high-school/ugzsy35b9geqz3ta4lgjh50iwyuvwetp07.png)
So the slope for equation which passes through (3, 3) will be 4.
Equation:
![\sf y - y_1 = m(x - x_1)](https://img.qammunity.org/2023/formulas/mathematics/high-school/fl5gig2g3156f9hmauqfw7im01wq3z1eve.png)
![\rightarrow y - 3 = 4(x - 3)](https://img.qammunity.org/2023/formulas/mathematics/high-school/kt6mf29xnq8nmb5n8jqtglvcict0dp02rn.png)
![\rightarrow y - 3 = 4x - 12](https://img.qammunity.org/2023/formulas/mathematics/high-school/2r578dgtjj61zvtuth6ekhfc4gf7xdl4c8.png)
![\rightarrow y = 4x - 12+3](https://img.qammunity.org/2023/formulas/mathematics/high-school/t3ja0jfd2vvsgyjwmdv07mftlyr19nu4g9.png)
![\rightarrow y = 4x - 9](https://img.qammunity.org/2023/formulas/mathematics/high-school/gi4nz7zdles03haa7b5kverjgdf1fmd8xu.png)