Question

Can someone help with all of of it ??

Answer 1

y = -2x + 1

Explanation:

First we're going to find the gradient (the number in the green box with the question mark).

We use the formula
`(y2-y1)/(x2-x1)` to calculate the gradient.

Let's make (-1, 3) be our (x1, y1), and (2, -3) be our (x2, y2).

Substitute the points into our formula:

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

gradient =
`(-6)/(3)`

gradient = -2

Next, we're going to find the y-intercept (the number in the grey box)

Now that we have the gradient, our equation looks like this:

y = -2x + c

We use the letter c to represent the y-intercept of a linear graph.

Substitute one of the points given into the x and y in the equation. Let's use (-1, 3).

3 = -2(-1) + c

3 = 2 + c

c = 1

So our equation is y = -2x + 1