Question

Graph the line with slope -2 and y-intercept -3

Answer 1

step 1. go down to (0, -3) [only do this step once]

step 2. go down 2 units and to the right once.

step 3. repeat from step 2

Answer 2

The graph of the line with slope -2 and y-intercept -3 should be a straight line descending from left to right.

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

For the line with slope -2 and y-intercept -3, the equation is y = -2x - 3

Now, let's graph this line. The slope of -2 means that for every 1 unit you move to the right, you move down 2 units. The y-intercept of -3 means that the line crosses the y-axis at the point (0, -3).

Plot the y-intercept at (0, -3), then use the slope to find another point. Move 1 unit to the right (since the slope is -2), then move down 2 units. This gives you the point (1, -5).

Now you can draw a line passing through these two points. The graph of the line with slope -2 and y-intercept -3 should be a straight line descending from left to right.