Question

N the xy-plane, a line crosses the y-axis at the point

(0, 3) and passes through the point (4, 5). Which of the
following is an equation of the line?

Answer 1

y = 3x - 7

Explanation:

The slope is 3 and the y-intercept is -7

y = mx + b

y = 3x - 7

Slope:

The slope is when the x value is o. The point (0,3) tells us that the slope is 3.

y-intercept:

Use the x value 4 from the point given (4,5)

Use the y value 5 from the point given (4,5)

Use the slope given 3.

y = mx + b

5 = 3(4) + b

3 = 12 + b subtract 12 from both sides

3 - 12 = 12 - 12 + b

-7 = b

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