Answer:
Slope is -0.6
y-intercept is -0.2
Step-by-step 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:
[tex]\frac{3}{-5} =-\frac{3}{5} =-0.6[/tex]
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.
