To find the slope and y-intercept of the equation, we need to put it in the form y = mx + b, where m is the slope and b is the y-intercept.
Starting with the given equation:
9 + (27/2)x = -32y
We can rewrite it as:
(27/2)x + 9 = -32y
Dividing both sides by -32:
(-27/64)x - 9/32 = y
Comparing it to y = mx + b, we have:
m = -27/64
b = -9/32
Therefore, the slope is -27/64 and the y-intercept is (-9/32, 0).
What is the slope and the y-intercept of the equation 9+27/2x=−32y. Write the y-intercept as an ordered pair.(1 point)
The slope is:
. The y-intercept is: ( , ).
3 answers
Annie has created a graph of 3x+y=10 on the coordinate plane. Did Annie create her graph correctly?
Option 1: No; Annie's y
-intercept is correct but her slope is incorrect.
Option 2: No; Annie's slope is correct but her y
-intercept is incorrect.
Option 3: Yes; Annie's graph is correct
Option 1: No; Annie's y
-intercept is correct but her slope is incorrect.
Option 2: No; Annie's slope is correct but her y
-intercept is incorrect.
Option 3: Yes; Annie's graph is correct
To determine if Annie created her graph correctly, we can compare the equation 3x + y = 10 to the slope-intercept form y = mx + b.
First, let's solve the equation for y:
y = -3x + 10
Comparing this to y = mx + b, we see that Annie's slope is -3 and her y-intercept is 10.
Therefore, the correct answer is:
Option 3: Yes; Annie's graph is correct.
First, let's solve the equation for y:
y = -3x + 10
Comparing this to y = mx + b, we see that Annie's slope is -3 and her y-intercept is 10.
Therefore, the correct answer is:
Option 3: Yes; Annie's graph is correct.