Question

A line that passes thru (-3,4) and is parallel to y=2

Answer 1

Parallel lines have the same slope.

y=2 is a horizontal line and has a slope of 0, so the line parallel to it must also be horizontal and have a slope of 0.

Horizontal lines always have the form " y = k " for some number k and every point on that line has a y-value of k.

In this case, if you want the line to go through the point (-3,4), then the equation will be " y = 4 ", since that's the y-value of the point on the line.

Answer 2

y = 4

Explanation:

A line with the equation y = a is a horizontal line that intercepts the y-axis at (0, a).

A line parallel to a horizontal line is another horizontal line.

If a horizontal line passes through point (p, q), then its equation is y = q, where q is the y-value of the point.

Therefore, the equation of a line that passes through (-3, 4) and is parallel to y = 2 is:

• y = 4