How do you solve for y and graph y+2x=3?

To solve for y in the equation y + 2x = 3 and graph it, you can follow these steps:

Solve for y:
To isolate y, you need to get it on one side of the equation. Start by moving the 2x term to the other side by subtracting 2x from both sides of the equation:

y + 2x - 2x = 3 - 2x

This simplifies to:

y = 3 - 2x

Now that you have solved for y, you have the equation in slope-intercept form (y = mx + b), where m is the slope and b is the y-intercept. In this case, the slope (m) is -2, and the y-intercept (b) is 3.

Graph the equation:
To graph the equation, you can start by plotting the y-intercept, which is (0, 3), and then use the slope to find additional points.

Since the slope is -2 (which means for every unit you move to the right, you move 2 units down), you can find another point by moving one unit to the right and two units down from the y-intercept:

(0, 3) - y-intercept
(1, 1) - one unit right, two units down

You can continue to find more points in the same way or use a straightedge to draw a line through the y-intercept and the point (1, 1).

Connect the points with a straight line. This line represents the graph of the equation y + 2x = 3.

So, the graph of y + 2x = 3 is a straight line with a slope of -2 and a y-intercept of 3.