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Answer:
The equation of a line that passes through the point (-1,5) and has a slope of -7 will be:
- y = -7x-2
Step-by-step explanation:
The slope-intercept form of the line equation
where
- m is the slope
- b is the y-intercept
Given
- The point (-1, 5)
- Slope m = -7
substituting m = -7 and the point (-1, 5) in the slope-intercept form of the line equation
5 = -7(-1) + b
5 = 7+b
b = 5-7
b = -2
Thus, the y-intercept is: b = -2
now substituting b = -2 and m = -7 in the slope-intercept form of the line equation
y = mx+b
y = -7x+(-2)
y = -7x-2
Therefore, the equation of a line that passes through the point (-1,5) and has a slope of -7 will be:
- y = -7x-2