Answer:
Slope: 4
Y-intercept: -5
Equation: y=4x-5
Step-by-step explanation:
Slope formula:
[tex] \frac{y2 - y1}{x2 - x1} [/tex]
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:
[tex] \frac{3 - ( - 1)}{2 - 1} [/tex]
Which is equal to:
[tex] \frac{4}{1} [/tex]
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
