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Write the equation of the line that has a slope of -2 and y-intercept of 1.
1 answer:
Answer:
The equation of the line that has a slope of -2 and y-intercept of 1 will be:
- y = -2x+1
Step-by-step explanation:
The slope-intercept form of the line equation
where
- m is the slope
- b is the y-intercept
Given
The slope m = -2
y-intercept b = 1
We know that the value of y-intercept can be determined by setting x = 0, and determining the corresponding value of y.
It is already stated that the y-intercept = -1
It means at y = 1, x = 0
Thus, we have the point (0, 1)
Now using the slope-intercept form
y = mx+b
substituting m = -2 and b = 1
y = -2x + (1)
y = -2x+1
Therefore, the equation of the line that has a slope of -2 and y-intercept of 1 will be:
- y = -2x+1
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