Find an equation in slope-intercept form passing through the points (2,5) and (7,-3).

M=(-3,-5)/(7,-2)
M=-8/5 IS THE SLOPE
[Y=MX+B]
5=-8/5*2+B
5=-16/5+B
5+16/5=B
(25+16)/5=B
41/5=B THE Y INTERCEPT
Y=-8X/5 +41/5

HOW WOULD I SHOW A GRAPH ON THIS PROBLEM?

your slope is incorrect

slope = (-2+5)/(7+3) = 3/10
so y = (3/10)x + b
using (-3,-5)
-5 = (3/10)(-3) + b
-50 = -9 + 10b
b = -41/10

y = (3/10)x - 41/10

http://www.purplemath.com/modules/graphlin.htm

I'm not sure of your question.
Do you know how to graph an equation?

Is it because there are fractions?

If because of fractions, convert to decimals and estimate as best you can.

Your equation would be,
y = -1.6 x + 8.2

To graph the equation in slope-intercept form, you can follow these steps:

1. Plot the y-intercept: In this case, the y-intercept is (0, 41/5). Start by marking this point on the y-axis.

2. Use the slope to find additional points: Since the slope is -8/5, it means that for every 5 units you move to the right (in the x-direction), you should move 8 units down (in the y-direction). So, starting from the y-intercept point, move 5 units to the right and 8 units down to get another point. Repeat this process to get more points.

3. Plot the additional points: Use the calculated points from step 2 to plot them on the graph.

4. Draw the line: Once you have at least two points, draw a straight line through them. This line represents the graph of the given equation.

Remember to label the x-axis and y-axis and include appropriate scale markings to ensure accuracy in your graph.

If you have access to a graphing tool or software, you can input the equation y = -8x/5 + 41/5 and it will generate the graph for you.