Match the equation with its graph: 4x-7=-28

Answer 1

To find the graph that matches the equation 4x-7=-28, we need to solve the equation for x and then plot the graph.

Step 1:
Add 7 to both sides of the equation to isolate the variable:
4x - 7 + 7 = -28 + 7
4x = -21

Step 2:
Divide both sides of the equation by 4 to solve for x:
4x/4 = -21/4
x = -21/4

Now that we have solved for x, we can plot the graph.

The equation represents a linear function (a straight line). The graph will be a vertical line passing through the point (-21/4, 0) on the x-axis.

The correct match for the equation 4x-7=-28 is a vertical line passing through the point (-21/4, 0) on the x-axis.