Fine the y-intercept and x - intercept of the following linear equation

6x+7y=-4

Finding intercepts you set one variable (x or y) to xero in the equation of 6x + 7y = - 4:

x-intercept, y=0: 6x + 7 (0) = - 4 | 6x + 0 = - 4 | 6x = - 4 | x = - 4/6 = - 2/3 | (-2/3,0) answer

y-intercept, x=0: 6 (0) + 7y = - 4 | 0 + 7y = - 4 | 7y = - 4 | y = - 4/7 | (0,-4/7) answer

To find the x intercept, plug zero in for y and solve.

To find the y intercept, plug zero in for x and solve.

6 (0) + 7y = - 4

y = - 4/7

(0, - 4/7)

6x + 7 (0) = - 4

6x = - 4

x = - 4/6 = - 2/3

(-2/3, 0)