What is the slope and the y-intercept of the equation 9+272x=−32y. Write the y-intercept as an ordered pair.
To find the slope and y-intercept of the equation 9 + 272x = -32y, we need to rearrange the equation in the form y = mx + b, where m represents the slope and b represents the y-intercept.
Starting with the given equation:
9 + 272x = -32y
To isolate y, divide both sides of the equation by -32:
(9 + 272x) / -32 = y
Simplifying this expression:
-9/32 - 272x/32 = y
-9/32 - 8.5x = y
Now, we can see that the equation is in the form y = mx + b, where the slope (m) is -8.5 and the y-intercept (b) is -9/32.
The y-intercept as an ordered pair is (0, -9/32).
To find the slope and y-intercept of the equation 9 + 272x = -32y, we need to rewrite the equation in slope-intercept form, which is y = mx + b, where m is the slope and b is the y-intercept.
First, let's rearrange the equation to isolate y:
9 + 272x = -32y
Divide both sides of the equation by -32:
(9 + 272x)/(-32) = y
Simplify the right side:
y = -17 - 8x
Now we can see that the slope (m) is -8 and the y-intercept (b) is -17.
To write the y-intercept as an ordered pair, we place the y-intercept (-17) as the y-coordinate and 0 as the x-coordinate. Therefore, the y-intercept can be written as (0, -17).
To find the slope and the y-intercept of the equation 9 + 272x = -32y, we need to rewrite the equation in slope-intercept form, which has the form y = mx + b. In this form, m represents the slope, and b represents the y-intercept.
To rewrite the equation in slope-intercept form, let's isolate y on one side of the equation:
9 + 272x = -32y
First, divide both sides of the equation by -32 to isolate y:
(9 + 272x) / -32 = y
Simplifying the expression on the right-hand side:
y = -272x/32 - 9/32
Further simplification:
y = -17x/2 - 9/32
Now we have the equation in slope-intercept form, where the slope (m) is -17/2 and the y-intercept (b) is -9/32. The y-intercept is written as an ordered pair by using (0, b), where b is the y-intercept value. Therefore, the y-intercept, written as an ordered pair, is (0, -9/32).