Answer:
y = 4x - 9
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. [tex]\sf m_1 = m_2[/tex]
So the slope for equation which passes through (3, 3) will be 4.
Equation:
[tex]\sf y - y_1 = m(x - x_1)[/tex]
[tex]\rightarrow y - 3 = 4(x - 3)[/tex]
[tex]\rightarrow y - 3 = 4x - 12[/tex]
[tex]\rightarrow y = 4x - 12+3[/tex]
[tex]\rightarrow y = 4x - 9[/tex]
