Question

1. $y = -3x + 5$

Explanation:

Step1: Identify y-intercept

The equation $y=-3x+5$ is in slope-intercept form $y=mx+b$, where $b=5$. This gives the point $(0, 5)$.

Step2: Find second point using slope

Slope $m=-3=\frac{-3}{1}$. From $(0,5)$, move 1 right, 3 down: $(0+1, 5-3)=(1, 2)$.

Step3: Plot points and draw line

Mark $(0,5)$ and $(1,2)$, then draw a straight line through them, extending across the grid.

Answer:

The line $y=-3x+5$ is graphed by plotting the y-intercept $(0, 5)$ and the point $(1, 2)$, then connecting them with a straight line that extends in both directions across the coordinate grid.