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

Answer: A

The equation of the line goes by:

`y=mx+b`

First, let us find the slope of the line by using the following formula:

`m=(y_2-y_1)/(x_2-x_1)`

Using the points (0,3) and (4,5)

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

We now have a slope of 1/2.

Now, for the given, it is said that at x = 0, y = 3. Therefore, the y-intercept (b)=3.

Substituting this to our formula above, we will get:

`y=(1)/(2)x+3`

The answer is A.