Question

I really need help with this ☹️

Answer 1

Slope: 7

Y-intercept: 15

Equation: y = 7x + 15

To find the slope, start with finding the change in y and change in x.

If you look at the table, you can see the x values constantly change by 1. You can also see that the y values constantly change by 7.

Slope = change in y ÷ change in x

Slope = 7 ÷ 1

Slope = 7

To find the y-intercept, look at the table and see what y is when x is 0, which is 15.

The standard form of a linear equation is y = mx + b, m being the slope and b being the y-intercept. We have already found those values, so we can substitute them in to get y = 7x + 15.

Answer 2

a) to find the slope, select 4 points, like (1,22) and (2,29), then use the rule y-y/x-x so 29-22/2-1 (remember if you use y1 then you have to use x1 in bottom) so the slope is = 7

b) y=mx+c (equation formation) m=slope and c= y intercept, so replace y with 22 and the x with 1 and the m with the slope we found earlier, (7) so it’ll be 22=(7)(1)+c (22=7+c), lastly take 7 to the other side which will be 22-7=c and so y intercept is 15

c) previously we found the y intercept and slope so the equation = y = 7x+15