Question

How do I do this please help??

Answer 1

Slope: 4

Y-intercept: -5

Equation: y=4x-5

Explanation:

Slope formula:

`(y2 - y1)/(x2 - x1)`

So let's use the ordered pairs (1, -1) and (2,3) from the table (it doesnt matter which ones you choose) and plug the numbers in to the formula:

`(3 - ( - 1))/(2 - 1)`

Which is equal to:

`(4)/(1)`

Which is equal to 4. So the slope is 4.

To find the y-intercept, substitute the slope and an ordered pair into the slope-intercept equation, y=mx+b. So let's use (1,-1).

-1=4(1)+b

= -1=4+b

= -1-4=4-4+b

= -5=b

So the y-intercept is -5.

Then for the equation, you just plug in the slope and the y-intercept into y=mx+b, which would be:

y=4x-5