Find the slope and y-intercept of the line that is \green{\text{parallel}}parallelstart color #28ae7b, start text, p, a, r, a, l
1 answer:
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Point (-12 , 8) is on the line that passes through (0, 6) and is parallel to the given line ⇒ 1st
Step-by-step explanation:
Parallel lines have:
- Same slopes
- Different y-intercepts
The formula of the slope of a line which passes through points and
is
∵ The given line passes through points (-12 , -2) and (0 , -4)
∴ = -12 ,
= 0
∴ = -2 ,
= -4
- Use the formula of the slope above to find the slope of the given line
∵
∴ The slope of the given line is
∵ The two lines are parallel
∴ Their slopes are equal
∴ The slope of the parallel line =
∵ The parallel line passes through point (0 , 6)
- The form of the linear equation is y = mx + b, where m is the slope
and b is the y-intercept (y when x = 0)
∵ m = and b = 6
∴ The equation of the parallel line is y = x + 6
Let us check which point is on the line by substitute the x in the equation by the x-coordinate of each point to find y, if y is equal the y-coordinate of the point, then the point is on the line
Point (-12 , 8)
∵ x = -12 and y = 8
∵ y = (-12) + 6
∴ y = 2 + 6 = 8
- The value of y is equal the y-coordinate of the point
∴ Point (-12 , 8) is on the line
Point (-12 , 8) is on the line that passes through (0, 6) and is parallel to the given line
Learn more:
You can learn more about the equations of parallel lines in brainly.com/question/9527422
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