Question

In 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 = 1/2 x + 3

Explanation:

y = mx + b

You need to find the slope (m) and the y-intercept (b) to write the equation

The slope is the change in y over the change in x.

(0,3) (4,5) The y values are 5 and 3. The x values are 4 and 0. You find the change by subtracting.

`(5-3)/(4-0)` =
`(2)/(4)` =
`(1)/(2)`

The slope (m) is 1/2.

The y-intercept is the point (0,b). They give us this with the point (0,3) The y-intercept (b) is 3

y = 1/2 x + 3

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