Write an equation (a) in standard form and (b) in slope-intercept...

Question

Write an equation (a) in standard form and (b) in slope-intercept form for each line described. through (-1, 4), parallel to x+3y=5

Accepted Answer

Consider a line defined by two X plus Y is equals to seven write equations both in standard form and slope intercept form of a line that is parallel to the given line and passes through a negative +42. Now we need to find the slope of this line. First, We have this in standard form. Currently two x Plus Y is equal to seven to find our slope. We will change this to slope intercept form by solving for why itself fact two X on both sides to get Y is equal to negative two X plus seven. We can then see the slope for a line is negative too. Now we're gonna use this slope to bind the slope of our parallel line. It specifically says the line is parallel. So our new slope should be the same as our original slope. M two will then be the same -2. We can then use point slope form to determine this equation of our line because we have a point and the slope point of form is given by Y minus Y one as equals to M times X minus X one M two is our slope. So we'll use M2. Now, the point it gives us is -42. We have the Y corner of our point. So Y minus two is equals to our slope negative two times X minus negative four, Y minus two as equals to negative two times X plus four, Y -2 is equals to -2, XX -8. Finally add two on both sides But your y is equals to -2 X -6. Now, this is our slope intercept form equation. Define our standard form equation. We just want this in the form A X plus B Y is equals to c other words, we're gonna move our two X over to the other side. Our negative two X add two X to both sides. We end up but two X plus Y is equals to negative six. We don't want to simplify anymore. So we're given our standard form here. So when is that form here? This answer corresponds what the answer? A? OK. I hope to help you solve the problem. Thank you for watching. Goodbye.

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Write an equation (a) in standard form and (b) in slope-intercept form for each line described. through (-1, 4), parallel to x+3y=5

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