Answer:
A
Step-by-step explanation:
<u>Slope- intercept </u><u>form</u>
y= mx +c, where m is the slope and c is the y-intercept.
The given equation is in the slope-intercept form and hence we can easily identify its slope by looking at the coefficient of x.
y= 2x +7
slope= 2
Parallel lines have the same slope, thus the slope of the parallel line is also 2.
Substitute m= 2 into the general equation:
y= 2x +c
Substitute a pair of coordinates into the equation to find the value of c:
When x= 3, y= 11,
11= 2(3) +c
11= 6 +c
c= 11 -6
c= 5
Therefore the equation of the line is y= 2x +5.
