Question

For the straight line defined by the points (2,59) and 4,87), determine the slope (m) and y-intercept (b). Do not round the answers. m = b= I m​

Answer 1

The slope is 14. The y-intercept is 31.

Explanation:

Start with slope formula:

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

Substitute.

`m=(87-59)/(4-2)`

Combine like terms.

`m=(28)/(2)`

Divide.

`m=14`

Now for y-intercept:

`y=mx+b`

Substitute.

`y=14x+b`

Subtract
`14x` from both sides of the equation so we are set to solve for
`b`.

`b=y-14x`

Let's substitute in x & y values from (2,59)

`b=59-14(2)`

Solve.

`b=31`