math i just need help i been on the same math reveiw for 4 days im only in middle i have a life please

Question

i need help on this question a table of values of a linear function is shown below

what is the slope the equation and the y intercept

Answer 1

Hi Crystal,

table of values of a linear function is shown below

what is the slope the equation and the y intercept

The slope intercept form of a line is

y=mx+b Where m=slope and b=y-intercept

The slope is defined as the (change in y) / (change in x).

To determine the slope when you have 2 points on a line you use the following

(y₂-y₁) / (x₂-x₁)

Your table gives you 5 points. (0,16), (1,-7), (2,-8) etc.

Choose 2 points on your line. (0,-6) (1,-7)

the slope is

m = (y₂-y₁) / (x₂-x₁)

m = (-7 - (-6)) / (1-0)

m = (-7+6) / 1

m = -1

To determine the y-intercept, you will use the slope from above and one point from your list of points

slope m= -1 point = (2,-8)

Now, we are going to put these values into the slope intercept equation

y=mx+b

(-8)=(-1)(2)+b

-8 = -2+b

-6 = b This is your y-intercept

Your equation is y=-x-6

To review the steps

1. Determine slope using 2 points
2. Use the slope and one point and solve for y-intercept using y=mx+b

Hope this helps.

Let me know if you need more clarification :)