Find the y-intercept of 7x plus 2y equals 28?

Answer 1

Write the equation of the line in the slope-intercept form, y = mx + b, where b is the y-intercept.

7x + 2y = 28 (subtract 7x to both sides)
7x - 7x + 2y = -7x + 28
2y = -7x + 28 (divide by 2 to both sides)
y = -(7/2)x + 14

Thus, the y-intercept is 14.

Or

7x + 2y = 28 (let x = 0 to find the corresponding y-value, which is the y-intercept)
7(0) + 2y = 28
2y = 28 (divide by 2 to both sides)
y = 14