Graph the line using a point and a slope. Write the equation of each line. A line that passes through the point (0, –3) and parallel to another line whose slope is 2
Remember that
If two lines are parallel, then their slopes are equal
so
the slope of the parallel line is 2 too
Find out the equation in slope-intercept form
y=mx+b
we have
point (0,-3)
m=2
y=2x-3
to graph the line, we need two points
we have (0,-3)
Find the x-intercept (value of x when the value of y is zero)
For y=0
0=2x-3
2x=3
x=3/2=1.5
x-intercept is (1.5,0)
Plot the intercepts, join them and draw the line
see the attached figure