Question

Write an equation of the line that passes through the point (0, 7) and is parallel to the line that passes through the points (5, 2) and (-3, 1).

Answer 1

Parallel lines have the same gradient.

If we want the line which is parallel to the line which passes through (5, 2) and (-3, 1), then we need to use the equation:
\[\text{Gradient}=\frac{\text{Change in y}}{\text{Change in x}}\]

You can then write the equation of the line which passes through (0, 7) with that gradient as \(y=mx+7\) (since 7 is the y-intercept of the line as it passes through (0, 7)) where m is the gradient of the other line that you found.