Question

Write an equation in slope-intercept form ( y = mx+b ) from the table below. Help Video



(1 point) \table[[x,y],[1,7],[2,9],[3,11]]

Answer 1

To write the equation in slope-intercept form, we first need to calculate the slope (m) and the y-intercept (b).

We can calculate the slope using the formula:

m = (y2 - y1) / (x2 - x1)

Taking the points (1,7) and (2,9):

m = (9 - 7) / (2 - 1)
m = 2 / 1
m = 2

Now that we have the slope, we can use one of the points to find the y-intercept. Let's use the point (1,7):

y = mx + b
7 = 2(1) + b
7 = 2 + b
b = 5

Now we have the slope (m = 2) and the y-intercept (b = 5), so the equation in slope-intercept form is:

y = 2x + 5