X, -2, -1, 2, 5
Y, 80, 70, 40, 10
What is the slope of this line?____
What is the y-intercept of the line?___
What is the equation of the line?____
To find the slope of the line, we can choose any two points from the provided coordinates and use the formula:
Slope = (Y2 - Y1) / (X2 - X1)
Let's choose the points (X1, Y1) = (-2, 70) and (X2, Y2) = (5, 10)
Slope = (10 - 70) / (5 - (-2)) = -60 / 7 ≈ -8.57
Therefore, the slope of the line is approximately -8.57.
To find the y-intercept of the line, we can use the slope-intercept form of the equation of a line, which is:
y = mx + b
where m is the slope and b is the y-intercept. Let's plug in the values we know:
10 = (-8.57)(5) + b
10 = -42.85 + b
b = 52.85
Therefore, the y-intercept of the line is 52.85.
Finally, the equation of the line is:
y = -8.57x + 52.85