Graph this line using intercepts:7x–4y=–28

Sure, here are the steps to graph the line 7x - 4y = -28 using intercepts:

Step 1: Find the x-intercept The x-intercept is the point where the line crosses the x-axis. At this point, y = 0. So, we substitute y = 0 into the equation and solve for x:

7x - 4(0) = -28 7x = -28 x = -28 / 7 x = -4

So, the x-intercept is (-4, 0).

Step 2: Find the y-intercept The y-intercept is the point where the line crosses the y-axis. At this point, x = 0. So, we substitute x = 0 into the equation and solve for y:

7(0) - 4y = -28 -4y = -28 y = -28 / -4 y = 7

So, the y-intercept is (0, 7).

Step 3: Plot the intercepts Plot the x-intercept (-4, 0) and the y-intercept (0, 7) on the graph.

Step 4: Draw the line Draw a straight line through the two intercepts. This is the graph of the line 7x - 4y = -28.

Sure, here are the steps to graph the line 7x - 4y = -28 using intercepts:

Step 1: Find the x-intercept The x-intercept is the point where the line crosses the x-axis. At this point, y = 0. So, substitute y = 0 into the equation and solve for x:

7x - 4(0) = -28 7x = -28 x = -28 / 7 x = -4

So, the x-intercept is (-4, 0).

Step 2: Find the y-intercept The y-intercept is the point where the line crosses the y-axis. At this point, x = 0. So, substitute x = 0 into the equation and solve for y:

7(0) - 4y = -28 -4y = -28 y = -28 / -4 y = 7

So, the y-intercept is (0, 7).

Step 3: Plot the intercepts Plot the x-intercept (-4, 0) and the y-intercept (0, 7) on the graph.

Step 4: Draw the line Draw a straight line through the two intercepts. This line represents the equation 7x - 4y = -28.