Use the table to answer the question.

x y
1 −5
2 0
3 5
Write the equation of the line in slope-intercept form.

(1 point)

1 answer

To find the equation of the line in slope-intercept form, we first need to calculate the slope (m) using the given points (1,-5) and (3,5).

m = (y2 - y1) / (x2 - x1)
m = (5 - (-5)) / (3 - 1)
m = 10 / 2
m = 5

Now that we have the slope, we can use one of the points given to find the y-intercept (b). Let's use the point (1, -5).

y = mx + b
-5 = 5(1) + b
-5 = 5 + b
b = -10

Therefore, the equation of the line in slope-intercept form is: y = 5x - 10.