Final answer:
The equation of the line in slope-intercept form is y = -5x + 3.
Step-by-step explanation:
The equation of a line in slope-intercept form is given by y = mx + b, where m is the slope of the line and b is the y-intercept. To write an equation in slope-intercept form for a line passing through the point (2, -7) with a slope of -5, we substitute the values into the equation.
Substituting the given values, we get:
-7 = -5(2) + b
Simplifying the equation, we have:
-7 = -10 + b
Adding 10 to both sides, we get:
3 = b
Therefore, the equation of the line in slope-intercept form is y = -5x + 3.
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