The equation of Line w is: y = 7x + 14
What is the equation of the Line?
The general form for the equation of a line in slope intercept form is:
y = mx + c
where:
m is slope
c is y-intercept
Equation of Line v is:
7x - y= -5
Rewriting in slope intercept form gives:
y = 7x - 5
Thus:
slope = 7
Since w is parallel to it, then equation of line w is:
y - 7 = 7(x - (-1))
y - 7 = 7x + 7
y = 7x + 14
Complete question is:
Line v has an equation of 7x - y= -5. Line w includes the point ( – 1,7) and is parallel to line v. What is the equation of line w?