What is a point-slope equation of the line with slope 3 that goes through the point (-2, 8)?
Answer:
The point-slope equation of the line is: y – 8 = 3(x + 2).
How to Write the Point-Slope Equation of a Line?
The point-slope form of a line is given by the equation y – y1 = m(x – x1), where m is the slope of the line and (x1, y1) is a point on the line.
Given the slope of the line is 3 and the point (-2, 8) lies on the line, we can substitute these values into the point-slope form to find the equation of the line.
y – 8 = 3(x + 2)
Simplifying, we can rewrite in slope-intercept form as:
y = 3x + 14
Therefore, the point-slope equation of the line with a slope of 3 that goes through the point (-2, 8) is y – 8 = 3(x + 2).
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