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disa [49]
3 years ago
6

Find the equation of the line that is parallel to the given line and passes through the given point.

Mathematics
1 answer:
makkiz [27]3 years ago
7 0

Answer:

y= 4 x  

Step-by-step explanation:

y =4x − 7

 

Choose a point that the parallel line will pass through.

(0 , 0 )

Use the slope-intercept form to find the slope.

Tap for fewer steps...

The slope-intercept form is  

y = m x+ b , where  m  is the slope and b  is the y-intercept. y = m x + b

Using the slope-intercept form, the slope is  

4 . m = 4

To find an equation that is parallel to  y = 4 x − 7 , the slopes must be equal. Using the slope of the equation, find the parallel line using the point-slope formula.

( 0 , 0 ) m = 4

Using the point-slope form  

y − y 1 = m ( x −x 1 ) , plug in  m = 4 ,  x 1 = 0 , and  y 1 = 0 .

y − ( 0 ) = ( 4 )( x − ( 0 ) )

Solve for  y.

Subtract  0  from  y .

y = ( 4 ) ( x − ( 0 ) )

Subtract  0  from  x .

y= 4 x  

<u><em>HOPE THIS HELPS!</em></u>

<u><em>pLEASE MARK bRAINLIEST! :)</em></u>

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Write the equation of a line that has a m= -5 and passes through the point (-1,4)
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Answer:

We have a slope and a point, this way, we do not need to find the slope using two points. We can find the line using the Slope Form to turn it into Slope-Intercept Form, also known as "y = mx + b". We can use the Slope Form which is "y - y1 = m(x - x1)". A coordinate is "(x,y)", so that means, "(-1,4)" means that x = -1 and y = 4. We can substitute y1 for 4 and x1 for -1, and m for -5 since m is the slope. Plugging that information into the Slope Form Formula we get "y - 4 = -5(x - (-1))". We know that a negative with a negative turn positive, so we can use this information to change the formula to "y - 4 = -5(x + 1)". Now we distribute and simplify, these steps are shown below.

y - 4 = -5(x + 1)

y - 4 = -5x -5

y - 4 + 4 = -5x - 5 + 4

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Now that we have simplified it, we can see that the slope is -5 and the -1 is the y-intercept. To check this is a linear equation is to graph it, or substitute three x-coordinate or y-coordinates and draw a line. In conclusion, the equations is y = -5x - 1.

Step-by-step explanation:

4 0
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