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3 years ago

Select the equation that represents a lone in which intercepts the vertical axis at b. assume m≠0, b ≠ 0, and m≠b.

Mathematics

1 answer:

Tema [17]3 years ago

7 0

Answer:

Option 'C' is correct.

Step-by-step explanation:

We know that the slope-intercept form of the line equation

$y = mx+b$

where

m is the slope

b is the y-intercept

We are given that an equation that represents a line in which intercepts the vertical axis at b, assuming m≠0, b ≠ 0, and m≠b.

As the line intercepts the vertical (y-axis) at b.

Therefore, 'b' is the y-intercept of the line.

Also, the slope is m.

Thus, according to the slope-intercept form of the line equation, the equation is:

y = mx+b

Therefore, option 'C' is correct.

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Jason's original weight = 120 pounds

Let the no. of months be m

If he gains 10 pounds in each moth , then his weight in m months will be = 10m

His total weight will be= 120+10m -----(1)

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If he gains 4 pounds in each month , then his weight in m months will me =4m

His total weight will be = 150+4m-----(2)

Equating (1) ans(2)

120+10m=150+4m

=>10m-4m=150-120

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=>m= $\frac{30}{6}$

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