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Sagot :
Answer:
y = -2/3x
Step-by-step explanation:
Read and Understand how to find the line that is parallel to another line given one equation of a line and a point.
When two lines are parallel, they never intersect.
What do parallel lines having in common? The slope. Therefore, -2/3 is part of our answer.
Write the equation in slope-intercept form…
y = -2/3x + b
Where b is our y-intercept (Since two parallel lines don’t have the same y-intercept)
Then use the given point to plug it in our equation so we can find the value of b
y = -2/3x + b
(4) = -2/3(-6) + b
4 = 4 + b
b = 0
The equation of the line that is parallel to y = -2/3x + 7 and passes through the point (-6, 4) is y = -2/3x (we don’t need to include the y-intercept in this case because the y-intercept is equal to 0)
y = -2/3x
Step-by-step explanation:
Read and Understand how to find the line that is parallel to another line given one equation of a line and a point.
When two lines are parallel, they never intersect.
What do parallel lines having in common? The slope. Therefore, -2/3 is part of our answer.
Write the equation in slope-intercept form…
y = -2/3x + b
Where b is our y-intercept (Since two parallel lines don’t have the same y-intercept)
Then use the given point to plug it in our equation so we can find the value of b
y = -2/3x + b
(4) = -2/3(-6) + b
4 = 4 + b
b = 0
The equation of the line that is parallel to y = -2/3x + 7 and passes through the point (-6, 4) is y = -2/3x (we don’t need to include the y-intercept in this case because the y-intercept is equal to 0)
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