Question

Which choice shows x + y = 3 in slope-intercept form and the correct graph of the equation?

Answer 1

The slope-intercept form of the equation x + y = 3 is y = -x + 3, and the correct graph is a line with a slope of -1 and a y-intercept of 3.

Step-by-step explanation:

The slope-intercept form of an equation is y = mx + b, where m represents the slope and b represents the y-intercept. In the equation x + y = 3, we need to rewrite it in slope-intercept form.

To do this, we need to solve for y. Subtracting x from both sides of the equation gives us y = -x + 3. Therefore, the slope-intercept form of the equation is y = -x + 3.

The correct graph of this equation is a line with a slope of -1 (a decrease of 1 on the vertical axis for every increase of 1 on the horizontal axis) and a y-intercept of 3 (the point where the line intersects the y-axis).

Answer 2

To be able to graph a y=mx+b, it need to be in y=mx+b. So to answer your question you do the following.

x+y=3

You subtract the x to both side so it looks like this:

x+y=3

-x -x

Final answer is:

y=-x+3