Answer:
y-intercept = (0, 7) or 7.
Step-by-step 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:
[tex]\frac{4y}{4} = \frac{-7x + 28}{4}[/tex]
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.
