What is the the y-intercept and x-intercept of the line. 4x - 4y= 36
1 answer:
Answer:
x-intercept: (9,0)
y-intercept: (0,-9)
Step-by-step explanation:
The x-intercept and y-intercept is the point at which a line intersects the x-axis and y-axis, respectively. All points on the x-axis have a y-value of 0, while all points on the y-axis have an x-value of 0. Thus, to find the x and y intercepts, substitute 0 for one of the variables in the equation, then solve for the other.
1) To find the x-intercept, substitute 0 for y. Then, isolate x.
So, the x-intercept must be (9,0).
2) To find the y-intercept, substitute 0 for x. Then, isolate y.
So, the y-intercept must be (0,-9).
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Answer:
20 gallons were used from the tank with the octane rating of 80.
Step-by-step explanation:
Given : One tank of gasoline has an octane rating of 140 and another tank of gasoline has an octane rating of 80. To obtain a mixture of 60 gallons with an octane rating of 120.
To find : How many gallons should be used from the tank with the octane rating of 80?
Solution : Let x be the volume of gas whose octane rating is 140 and
y be the volume of gas whose octane rating is 80.
Then, we form the equation as:
(1)
or .........[3]
(2)
Now multiply equation (2) by 4
...........[4]
Subtract (4) from (3)
Put x in equation [4] we get,
Therefore, x=40 and y=20
So, 20 gallons were used from the tank with the octane rating of 80.
Answer:
Step-by-step explanation:
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The "<em>constant rate of change</em>" is also known as the slope (in straight line equations).
The equation is in <em>slope-intercept form</em>.
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<em>Slope-Intercept Form is: </em>
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<em>Since '5' takes up 'm's spot, it is the slope, or the constant rate of change. </em>
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<em>Hope this helps.</em>