Question

Find x- and y-intercepts. Write ordered pairs representing the points where the line crosses the axes.

y=3x+6

Answer 1

y = 3x + 6 slope intercept form

change to standard form

-3x + y = 6

to find x-intercept substitute y for zero

-3x + 0 = 6

-3x/-3 = 6/-3

x = -2 so the x-intercept is -2

-3x + y = 6

to find y-intercept substitute x for zero

-3(0) + y = 6

0 + y = 6

y = 6 so the y-intercept is 6

also in y= mx + b (the slope intercept form) b represents the y-intercept.

y = 3x + 6 b is the 6 so 6 is the y-intercept

The ordered pairs: y-intercept (0,6) x-intercept (-2,0)

Answer 2

Given y = 3x + 6, we find the x-intercept by setting y = 0 and solving the resulting equation for x: 0 = 3x + 6, or 3x = -6, or x = -2. The x - intercept is (-2,0).

Find the y-intercept by setting x = 0: y = 3(0) + 6 = 6. The y-int. is (0,6).