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If a line has slope $0.2,$ then any line parallel to it has slope _________ , andany line perpendicular to it has slope _______ ....

Question

If a line has slope $0.2,$ then any line parallel to it has slope _________ , andany line perpendicular to it has slope _______ .

If a line has slope $0.2,$ then any line parallel to it has slope _________ , and any line perpendicular to it has slope _______ .



Answers

The lines are parallel. Find the slope-intercept form of the equation of line $y_{2} .$

Okay, so we're given to line Feder parallel. That is, by one and white to. But why one? We have our equation and look to find our equation. We were right to. So we're given a point on why to that's going to be a negative one. Common one. So let's recall that if two lines are parallel, then we have the same slope. Ourself here is equal to date of two based on our equation of by one. So now let's plug or soap on our points into our point slope form. So we have y minus one is equal to negative two in an X minus, a negative. So that's plus one. So I'm gonna solve for y two, right? Just in slope interest of form. So we have Why is equal to negative two X What is two plus one? So we see that the equation over line for white two is equal to negative two x minus. What

Okay, so we're giving two lines were given lying. Why one and white too. And it's given that why one is perpendicular to y two instance, thes two are lines that means the slope of, um are why one line we can use the slope to find. Why to gut is I'm too, which is the slope of white, too is equal to negative one over the slope of why one would just to Okay, So, looking at our graph, we also have or y intercepts of our graph white, too. Our wines yourself is given to be zero comma. That a positive one, actually. So we have our slope and our winds us up so we can just plug that into our slope, intercept for him to find the equation of our line. So we have y two is equal to negative one half x plus one

Okay, so we're given our two lines here y one and y two and we know that why one is perpendicular to y two. So that means who confined one slope given daughter. So we're given our the question for white one. So that slope is three. So to find the slope of y two that's called a M two. That's the sequel to the negative reciprocal of our slope for White to So that's negative. One over M, which is three. Yes, another We found her. So let's find our minds is up by looking at a graph So we see that we have it Wind is upped for So now that we have our slope on our white step let's put that into are still intercept form to find the equation it right line. So this is why two is equal to and to times X and M plus four

It's the equation that were given is X equals negative to. This represents a vertical line, which means any line parallel to this line will also be vertical. A vertical line is written of the Form X equals C, where C is a constant so you can write any equation. As long as we have acts equal to a constant. For example, parallel lines to X equals negative two could be X equals one X equals positive two or again, any equation of the form X equals a constant.


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