For a relationship to be linear, there must be a constant rate of change. To check this, you need to calculate the equation of the line.
A linear line will always have an equation in the following pattern:
y = mx + c where m is the slope and c is a constant.
This equation must be of first degree (highest power is x^1) to be linear.
Note:
the slope can be calculated using two points (x1,y1) and (x2,y2) as follows:
m = (y2 / y1) / (x2 - x2)
You can then use points from the table and substitute in the equation to calculate the value of c.
The greater common factor is 4
Answer:
x-intercept (-3,0); y-intercept (0,12)
Step-by-step explanation:
To find the x-intercept --> y should equal 0
8x-2(0)=-24 substitute
8x=-24 divide
x=-3 (-3,0)
To find they-intercept --> x should equal 0
8(0)-2y=-24 substitute
-2y=-24 divide
y=12 (0,12)
Answer: 8 hours
Step-by-step explanation:
<u>Given information</u>
Admission fee = $7.00
Hour rent fee = $1.50
Number of hours = h
Total fee = $19
<u>Set equation according to the given information</u>
Total fee = admission fee + (hours) × (hour rend fee)
<u>Substitute values into the equation</u>
19 = 7 + 1.5h
<u>Subtract 7 on both sides</u>
19 - 7 = 7 + 1.5h - 7
12 = 1.5h
<u>Divide 1.5 on both sides</u>
12 / 1.5 = 1.5h / 1.5
Hope this helps!! :)
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