Step 1. Given y=f(x)=-3-7x, then x-intercepts occur when y=0. Then 0=-3-7x leads to
Adding 7x to both sides of the equation
Divide by 7 to both sides of the equation
Step 2. Given y=-3x-7, y-intercepts occur when x=0, y=-3*x-7 or y=-7.
Step 3. ANSWER: The x-intercept occurs at point (-3/7,0) and the y-intercept occurs at point(0,-7).
I hope the above steps were helpful.
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