I need help with math
1 answer:
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Answer:
y = 0.5x
Step-by-step explanation:
Given that x and y vary directly then the equation relating them is
y = kx ← k is the constant of variation
To find k use the condition x = 1, y = 0.5, then
k = =
= 0.5, hence
y = 0.5x ← equation of variation
Remember that the y-intercept is where the function has a value of and the x-intercept is where the function has a value of
. Thus, to find the x-intercept and y-intercept, we can substitute these values into the equation and solve for the other variable.
<u>x-intercept</u>
Since the x-intecept has a y-value of 0, we can substitute this into the function and solve for .
- Set up
- Add 3 to both sides
- Divide both sides by -2
The x-value of the x-intercept is and the y-value is 0, meaning that the x-intercept has coordinates
.
<u>y-intercept</u>
Since the y-intercept has a x-value of 0, we can substitute this into the equation and solve for :
- Set up
- Multiply and simplify
The y-value of the y-intercept is -3, meaning that the y-intercept of the function is .