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8) y = x + 2 m = 1, b = 2 (0,2)

Question

  1. y = x + 2 m = 1, b = 2 (0,2)

Explanation:

Step1: Identify the slope - intercept form

The equation of a line is $y = mx + b$, where $m$ is the slope and $b$ is the y - intercept. For the line $y=x + 2$, the slope $m = 1$ and the y - intercept $b=2$.

Step2: Find two points on the line

When $x = 0$, $y=0 + 2=2$, so one point is $(0,2)$. When $x = 1$, $y=1 + 2=3$, so another point is $(1,3)$.

Step3: Plot the points and draw the line

Plot the points $(0,2)$ and $(1,3)$ on the coordinate grid. Then draw a straight line passing through these two points.

Answer:

The line $y=x + 2$ is graphed by plotting the points $(0,2)$ and $(1,3)$ and drawing a straight - line through them.