Question

28 what is the equation of the line that passes through point q and is parallel to line p? write your answer in slope intercept form.
y = \square x + \square

Explanation:

Step1: Find slope of Line P

Line P passes through (0, -2) and (2, 0). Slope $m = \frac{0 - (-2)}{2 - 0} = \frac{2}{2} = 1$. Parallel lines have equal slopes, so the new line also has slope 1.

Step2: Determine coordinates of Point Q

From the graph, Point Q is at (1, 4) (assuming each grid is 1 unit).

Step3: Use point - slope form to find equation

Point - slope form: $y - y_1 = m(x - x_1)$. Substitute $m = 1$, $x_1 = 1$, $y_1 = 4$: $y - 4 = 1(x - 1)$. Simplify to slope - intercept form: $y = x + 3$.

Answer:

$y = 1x + 3$ (or $y = x + 3$)