Find the slope of the graph of the following: 9x−3y=15%0D%0A9%0D%0A%0D%0A−%0D%0A3%0D%0A%0D%0A=%0D%0A15%0D%0A(1 point)%0D%0AResponses%0D%0A%0D%0A−3%0D%0A−%0D%0A3%0D%0Anegative 3%0D%0A%0D%0A3%0D%0A3%0D%0A3%0D%0A%0D%0A−13%0D%0A−%0D%0A1%0D%0A3%0D%0Anegative 1 third%0D%0A%0D%0A13%0D%0A1%0D%0A3
To find the slope of the graph of the equation 9x - 3y = 15, we need to rearrange the equation in slope-intercept form (y = mx + b), where m represents the slope.
9x - 3y = 15
First, subtract 9x from both sides:
-3y = -9x + 15
Next, divide both sides by -3 to isolate y:
y = (9/3)x - 5
Simplifying further:
y = 3x - 5
From the equation above, we can see that the slope is 3.
To find the slope of the graph, we need to rewrite the equation of the graph in slope-intercept form (y = mx + b), where "m" represents the slope.
Given equation: 9x - 3y = 15
Step 1: Solve the equation for y.
-3y = -9x + 15
Divide both sides by -3:
y = (9/3)x - 15/3
Simplify:
y = 3x - 5
Step 2: Compare the equation with the slope-intercept form (y = mx + b).
We can see that the slope, "m," is 3.
Therefore, the slope of the graph is 3.
To find the slope of the graph of the equation 9x - 3y = 15, we need to rewrite the equation in slope-intercept form, which is y = mx + b, where m represents the slope.
Step 1: Start with the given equation, 9x - 3y = 15.
Step 2: Move the term containing "y" to the other side of the equation. Subtract 9x from both sides, which gives -3y = -9x + 15.
Step 3: Divide both sides of the equation by -3 to isolate y. This yields y = (9/3)x - 5.
Step 4: Simplify the equation. 9/3 can be reduced to 3, so the equation becomes y = 3x - 5.
Step 5: Compare the equation to the slope-intercept form, y = mx + b. We can see that the slope (m) is 3.
Therefore, the slope of the graph is 3.