Question

What is the slope of the line that passes through (4,7) and has a y-intercept of 1?

Answer 1

`m=(3)/(2)`

Explanation:

The x value of the y-intercept must be 0, so let

`(x_1,y_1)=(0,1)`

and

`(x_2,y_2)=(4,7)`

The slope of a line can be found with the following:

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

So,

`m=((7)-(1))/((4)-(0))\\m=(6)/(4)\\m=(3)/(2)`