Question

Find the​​ y-intercept of the graph of the equation.7x+4y=28

Answer 1

4y=-7x+28
y= -7/4x +7
The y intercept is +7

Answer 2

y-intercept = (0, 7) or 7.

Explanation:

Given the equation, 7x + 4y = 28:

Transform the equation into its slope-intercept form:

7x + 4y = 28

Subtract 7x from both sides:

7x - 7x + 4y = - 7x + 28

4y = - 7x + 28

Divide both sides by 4:

`(4y)/(4) = (-7x + 28)/(4)`

y = -7/4x + 7 (slope-intercept form).

The y-intercept is the point in the graph where it crosses the y-axis, and is the value of y when x = 0.

To find the y-intercept, set x = 0:

y = -7/4x + 7

y = -7/4(0) + 7

y = 7

Therefore, the y-coordinate of the y-intercept is 7.