Final answer:
To write the equation in slope-intercept form, isolate the y variable on one side of the equation. Example equations: A. 3x + 4y = 8. Slope-intercept form: y = (-3/4)x + 2. B. -14x + y = 7. Slope-intercept form: y = 14x + 7.
Step-by-step explanation:
To write the equation in slope-intercept form, we need to isolate the y variable on one side of the equation. Let's consider the given equations:
A. 3x + 4y = 8
First, subtract 3x from both sides to isolate the y term:
4y = -3x + 8
Then, divide every term by 4 to solve for y:
y = (-3/4)x + 2
So, the equation in slope intercept form is y = (-3/4)x + 2.
B. -14x + y = 7
First, add 14x to both sides to isolate the y term:
y = 14x + 7
So, the equation in slope intercept form is y = 14x + 7.
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