Question

(02.03 mc) choose the equation that represents the graph. (1 point) y = x - 3 y = -x + 3 y = -x - 3 y = x + 3

Explanation:

Step1: Recall slope - intercept form

The equation of a line is $y = mx + b$, where $m$ is the slope and $b$ is the y - intercept.

Step2: Find the y - intercept

The line crosses the y - axis at the point $(0,3)$, so $b = 3$.

Step3: Find the slope

Using two points on the line, say $(0,3)$ and $(- 3,0)$. The slope $m=\frac{y_2 - y_1}{x_2 - x_1}=\frac{0 - 3}{-3-0}=1$.

Step4: Write the equation

Substitute $m = 1$ and $b = 3$ into $y=mx + b$, we get $y=x + 3$.

Answer:

D. $y=x + 3$