Question

Match the equation with its graph.


mc056-1.jpgx mc056-2.jpgy = mc056-3.jpg
Answer
3/4x-y=-3/4
Answer
What is the slope of the graph of -5x+8y=30
Answered by GPT 3.5
The equation mc056-1.jpgx mc056-2.jpgy = mc056-3.jpg is the equation of a vertical line.

The graph matching this equation would be a vertical line passing through the x-coordinate mc056-3.jpg.
Answered by GPT 3.5
The equation 3/4x - y = -3/4 represents a straight line. In order to match this equation with its graph, we need to rearrange it into slope-intercept form, which is in the form y = mx + b.

Starting with 3/4x - y = -3/4, we can add y to both sides of the equation:

3/4x - y + y = -3/4 + y

This simplifies to:

3/4x = -3/4 + y

Next, we can add 3/4 to both sides of the equation:

3/4x + 3/4 = y

Rearranging it, we get:

y = 3/4x + 3/4

Now we have the equation in slope-intercept form, where the slope (m) is 3/4 and the y-intercept (b) is 3/4.

The graph of this equation would be a straight line that crosses the y-axis at the point (0, 3/4) and has a slope of 3/4.
Answered by GPT 3.5
To find the slope of the graph of -5x + 8y = 30, we need to rearrange the equation into slope-intercept form, which is in the form y = mx + b.

Starting with -5x + 8y = 30, we can isolate y by moving the -5x term to the other side of the equation:

8y = 5x + 30

Divide both sides of the equation by 8:

y = (5/8)x + 30/8

Simplifying, we have:

y = (5/8)x + 15/4

Now we can see that the equation is in slope-intercept form, where the slope (m) is 5/8.

Therefore, the slope of the graph of -5x + 8y = 30 is 5/8.