Hello from MrBillDoesMath!
Answer: x = 4, slope intercept form is y = 2x + 11
Discussion:
A vertical line goes straight up and down. The only thing "fixed" about it is its x value. Hence a vertical line has an equation like "x = ?". As your line passes through (4, -3), with x value 4. its equation is x = 4.
The slope intercept form of a line is " y = mx + b" where m is the slope of the line and b is its y intercept. We are told the desired line is parallel to y = 2x -1 which means both lines have the same slope (which is 2, boldfaced, above). So, we know the slope intercept form is
y = 2x + b
but we are also told the line passes through (-3,5). Substituting these values in the above equation gives
y = 2x + b
5 = 2 (-3) + b
5 = -6 + b
b = 5 + 6 = 11
The final slope intercept form is y = 2x + 11
Regards, MrB
