The slope-intercept form is y = 2x-3.
<u>Step-by-step explanation</u>:
Given,
- The equation of the line is y=2x+7.
- The general equation of the line is in the form y= mx+c.
- where 'm' represents the slope of the line.
<u>Comparing the given equation with general equation, it can be determined that</u> :
m = 2 and c = 7 (y-intercept).
The given line passes through the point (3,3) which is equal to (x1,y1)
Therefore, x1=3 and y1=3.
Substitute m=2 and the values of (x1,y1) in the slope-intercept form,
The slope-intercept form is (y-y1) = m (x-x1)
(y-3) = 2(x-3)
y = 2x-6+3
y = 2x-3
