Final answer:
To write the equation of a line in slope-intercept form, we use the formula y = mx + b. Using the given slope and point, we can substitute these values and find the equation to be y = -4x + 2.
Step-by-step explanation:
To write the equation of a line in slope-intercept form, we use the formula y = mx + b, where m represents the slope and b represents the y-intercept. Since the slope is -4, and the line passes through the point (-3, 14), we can substitute these values into the formula.
Using the point (-3, 14), we have: 14 = -4(-3) + b.
Simplifying the equation, we get 14 = 12 + b. Subtracting 12 from both sides, we find that b = 2.
Therefore, the equation of the line in slope-intercept form is y = -4x + 2.
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