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]]
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