Answer
the graph of the line parallel to y = 2x + 4 is presented below
The line has the equation y = 2x + 1
Step-by-step explanation
Any two parallel lines will have the same slopes.
The slope and y-intercept form of the equation of a straight line is given as
y = mx + c
where
y = y-coordinate of a point on the line.
m = slope of the line.
x = x-coordinate of the point on the line whose y-coordinate is y.
c = y-intercept of the line.
So, for y = 2x + 4, the slope is evidently 2
So, any line that we will pick that will be prallel to the given line has to be of the form
y = 2x + c
c, the y-intercept, can then be any number. Let us use an example where c = 1
The equation of a line parallel to y = 2x + 4 is y = 2x + 1
To plot this, we would need to use the intercepts.
when x = 0,
y = 2x + 1
y = 2(0) + 1
y = 0 + 1 = 1
First point of the line is (0, 1)
when y = 0
y = 2x + 1
0 = 2x + 1
2x = -1
Divide both sides by 2
(2x/2) = (-1/2)
x = -0.5
Second point on the line is (-0.5, 0)
We can then plot the line on the coordinate using these two points (0, 1) and (-0.5, 0)
So, the graph of the line parallel to y = 2x + 4 is presented under 'Answer'
Hope this Helps!!!