Ex 1: Find the Equation of a Line Parallel to a Given Line Passing Through a Given Point

This video provides an example of how to find the equation of a line that is parallel to a given line in slope-intercept form passing through a given point. This video uses slope-intercept form and point-slope form to find the equation of the line.
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[@Mathispower4u]

The y-intercept is (0,b). The given point on the line is (-1.4). Notice the y-coordinate is 4, but this is not the y-intercept since the x-coordinate in not 0. This is a common error.

[@chunkdagoat806]

You are finding the y intercept which is b. They said it isn't (-1,4)

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probably other teachers

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[@va3929]

When you subtract 5 from both sides is it because of the original slope or the new one?

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[@Godslilangell]

I have the same problem, (8,10) for the points but for the y-intercept I have y= 8/3x+7. I'm really bad at fractions, how would I solve this?

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This was very clear and understanding thank you

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[@elizabethseals5913]

What we do if the equation is x+24=-5 and the point is (1,2)? How do we solve this if we do not have a y?

[@autiepottie945]

so when you use the equation y=-5x+4 , you dont do anything with the +4 ? you only use the slope and the point ? so you just basically dont pay attention to the +4 am i right ??

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[@djmiggy7350]

Wait why did we disregard the 4? (y=-5x+4)

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Hey our task is to find the equation or determine the solution of each linear equation whose graphs are given. It's just the points and now Idk what to do. HELP ASAP THANKS.

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[@lizette8907]

Okay at 1:20 what do you mean, "Okay, but the y coordinate is not the y-intercept because x is not equal to zero?"

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Write an equation for the line parallel to the line −4x − 3y = −1 through the point (6, −9). Please enter your answer in slope-intercept form or standard form. How would you solve this equation?

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[@kaitlynr1293]

Now if the equation says y=x-8, would I write that as y=x-b or y=x+b when folowing the first step?

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+b

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Thank you.

[@kaz5494]

Hello sir, mind if I ask what's the +4 in the y = -5x +4? Thank you, would appreciate a lot. :)

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y intercept

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[@ghaziyanjabir6815]

Is it Necessary to have same answer for both 'y'?

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As I have sign issue in my answer
One of it is +ve & other is in -ve

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But how do you write it in standard form?

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[@m.r.d4550]

What happens if they are just ordered pairs and no slope give how would you do that?

[@rayaany.4069]

use the y - y1 = m(x - x1). Substitute the y2, y1, x2, x1 with the y1 and x1 in the equation.

[@lanemiller6271]

You find the slope of the line that spans through both points, and then you solve like he did.

[@whoever79]

Thank you so much

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Thank u sooooo much

[@aleksanderdedvukaj4447]

How do we know we add 4 to both sides 3:06

[@lillyclaro7083]

What if your equation of the line , m is a fraction?

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[@aliceali8171]

what happened to the 4 in the equation?

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if the equation is lets say
9x + 3y = 8; (-1,-4) how do you get y alone? can you walk me through this equation?

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you move the 9x to the other side of the equation and make it a negative

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