which line is parallel to the line whose equation is 4x 3y = 7, and also passes through the point (- 5, 2)?
1 answer:
Answer: [I assume: "4x 3y = 7" is really 4x + 3y = 7]
y = -(4/3)x -14/3
Step-by-step explanation:
Rewrite this as y=mx+b, where m is the slope.
4x + 3y = 7
3y = -4x +7
y = -(4/3)x +(7/3)
The slope is -(4/3)
A parallel line will have the same slope, but a specific value of b to allow it to go through the given point (-5,2):
y = -(4/3)x + b
Enter the point and solve for b:
2 = -(4/3)(-5) + b
2 = (20/3) + b
b = 2 - (20/3)
b = 6/3 - 20/3
b = -14/3
y = -(4/3)x -14/3
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Function h has the largest y-intercept which is 44
Step-by-step explanation:
Any linear function is represented in the form
Here b is the y-intercept of the linear function i.e. the constant term in the function.
We will compare all the functions with the general form we get
y-intercept of f(x) = 1
y-intercept of g(x) = 8
y-intercept of h(x) = 44
y-intercept of j(x) = 0
Hence,
Function h has the largest y-intercept which is 44
Keywords: intercepts, linear functions
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