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Write the equation of the line that has a y-value that increases by 4 for every x that increases by 1. It also crosses the y-axis at –2. A. y = 4x – 2 B. y1/4x – 2 C. y = 2x + 1/4D. y = 2x – 4

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ANSWER

[tex]y = 4x - 2[/tex]

EXPLANATION

The equation of a straight line can be found using the formula

[tex]y =mx + b[/tex]

We have that,the y-value increases by 4 for every x that increases by 1.

This implies that, the slope is

[tex]m = \frac{4}{1} = 4[/tex]

The line also crosses the y-axis at –2.

Hence the y-intercept is b=-2.

Therefore the equation is

[tex]y = 4x - 2[/tex]

The correct answer is A