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

Answer:

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

Step-by-step explanation:

Start with slope formula:

$m=\frac{y_2-y_1}{x_2-x_1}$

Substitute.

$m=\frac{87-59}{4-2}$

Combine like terms.

$m=\frac{28}{2}$

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.

$b=31$