To determine the slope and y-intercept of the equation 9+27/2x=−3/2y, we need to rewrite the equation in slope-intercept form, which is of the form y = mx + b.
To do this, we isolate the y-term by subtracting 9 from both sides of the equation:
27/2x = -3/2y - 9.
Then, we can divide both sides of the equation by -3/2:
(27/2x)/(-3/2) = (y + 9)/(-3/2).
Simplifying, we obtain:
-27x/3 = y + 9.
-9x = y + 9.
Now we have the equation in the form y = mx + b, where m is the slope and b is the y-intercept. Comparing to this form, we see that the slope is -9 and the y-intercept is 9.
Therefore, the slope is -9 and the y-intercept is (0, 9).
What is the slope and the y -intercept of the equation 9+27/2x=−3/2y . Write the y -intercept as an ordered pair.(1 point)
The slope is
. The y-intercept is (
).
3 answers
the y-intercept is wrong
Apologies for the mistake.
To find the y-intercept, we need to convert the equation to slope-intercept form (y = mx + b), where m is the slope and b is the y-intercept.
Starting with the given equation: 9 + (27/2)x = (-3/2)y
We can rearrange the equation to isolate y: (-3/2)y = 9 + (27/2)x
Dividing both sides by (-3/2), we get: y = (-3/2)(9 + (27/2)x)
Simplifying, y = -13.5 - 20.25x
This equation is now in slope-intercept form, where the slope is -20.25 and the y-intercept is -13.5.
Therefore, the slope is -20.25 and the y-intercept is (-13.5, 0).
To find the y-intercept, we need to convert the equation to slope-intercept form (y = mx + b), where m is the slope and b is the y-intercept.
Starting with the given equation: 9 + (27/2)x = (-3/2)y
We can rearrange the equation to isolate y: (-3/2)y = 9 + (27/2)x
Dividing both sides by (-3/2), we get: y = (-3/2)(9 + (27/2)x)
Simplifying, y = -13.5 - 20.25x
This equation is now in slope-intercept form, where the slope is -20.25 and the y-intercept is -13.5.
Therefore, the slope is -20.25 and the y-intercept is (-13.5, 0).
1 answer