Question

ANSWER ASAP

look at the attached imagine, the top point is (-2,0) and the bottom is (3,-2). What is the slope and y-intercept of this

Answer 1

Slope is -0.6

y-intercept is -0.2

Explanation:

We can find the slope of our line by dividing the change in y with the change in x between the 2 values.

We have 2 points: (-2, 1) and (3, -2)

Thus, we have the y-values of 1 and -2. (second number)

The change is thus:

1 - (-2) = 3

Meanwhile, we have the x-values of -2 and 3. (first number)

The change is thus:

-2 - 3 = -5

Dividing 3 by -5 we get:

`(3)/(-5) =-(3)/(5) =-0.6`

The slope of our line is thus, -0.6

The y-intercept is the y-value at which the line meets the y-axis. In other words, when x = 0.

We know that our y-value changes by -0.6 for each x (our slope).

Since y = 1 at x = -2 (our first point), if we add 2 x, our y-value should change by -1.2:

2 * -0.6 = -1.2

If y was 1, and we change it by -1.2, we get:

1 - 1.2 = -0.2

Thus, the y-intercept is -0.2, as that is our y-value when x = 0.