Final answer:
The equation 7x + 4y = 16 can be written in slope-intercept form as y = (-7/4)x + 4.
Step-by-step explanation:
The given equation is 7x + 4y = 16. To write it in slope-intercept form (y = mx + b), where m is the slope and b is the y-intercept, we need to isolate y.
First, subtract 7x from both sides of the equation: 7x + 4y - 7x = 16 - 7x. This simplifies to 4y = -7x + 16.
Next, divide both sides by 4 to solve for y: y = (-7/4)x + 4. Now the equation is in slope-intercept form.
Learn more about Writing equations in slope-intercept form