Graph by plotting points.

Question

2xequalsminusyplus3

Answer 1

To plot the graph of the equation 2x = -y + 3, we can rearrange it to put it in slope-intercept form (y = mx + b), where m is the slope and b is the y-intercept.

To do this, we can divide both sides by -1 to solve for y:
y = -2x + 3

Now we can plot the graph by selecting a few x values and solving for y.

Let's choose x = 0:
y = -2(0) + 3
y = 3
Point (0,3)

Now let's choose x = 1:
y = -2(1) + 3
y = 1
Point (1,1)

And finally, let's choose x = 2:
y = -2(2) + 3
y = -1
Point (2,-1)

Now we can plot these points on a graph and connect them to form a line.

This line will have a slope of -2 (negative 2) and will intersect the y-axis at 3.