Find an equation for the line that passes through the point (x, y) = (5, −7) andhas slope −3.
Question
Find an equation for the line that passes through the point (x, y) = (5, −7) and has slope −3.
Solution
The equation of a line in slope-intercept form is given by y = mx + b, where m is the slope and b is the y-intercept.
Given that the slope (m) is -3 and the line passes through the point (5, -7), we can substitute these values into the equation to find the y-intercept (b).
-7 = -3*5 + b -7 = -15 + b b = -7 + 15 b = 8
Therefore, the equation of the line is y = -3x + 8.
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