Answer:
Answer is F:
y = 2x + 4
Step-by-step explanation:
The slope-intercept form of a line is given by
y = mx + b
where m is the slope of the line and b is the y-intercept ie the y value where the line crosses the y axis for x = 0
In the line y = 2x + 4, the slope of the line is 2
If 2 lines are parallel to each other, they must have the same slope
Therefore the line passing through (-1,2) must have an equation of the form y = 2x + b.
There are only 2 choices that fit this equation, F and H
If we substitute the values of x=-1 into the F equation for testing we get
y = 2(-1) + 4 = -2 +4 = 2 which is the correct value for y for the point(-1,2)
The other choice y = 2x + 3 does not work because substituting for x we get
y = 2(-1) + 3 = -2 + 3 = 1 which is not the value of y for the point (-1,2)
