First, let's put this in Slope-intercept form: y = mx + b, where m is the slope and b is the y-intercept. 4y - 2x = 24 Add 2x to both sides 4y = 2x + 24 Divide both sides by 4 y = (1/2)x + 6 Now that we're in slope-intercept we can easily find the y and x intercepts/ b = 6, so the y-intercept equals 6. Plug zero in for x to confirm!
Now we plug 0 in for y to find the x intercept: 0 = (1/2)x + 6 Subtract 6 from both sides -6 = (1/2) x Multiply both sides by 2 -12 = x The x intercept is -12