Write an equation for each line described. Give answers in sta...

Question

Write an equation for each line described. Give answers in standard form for Exercises 11–20 and in slope-intercept form (if possible) for Exercises 21–32. through (5,-8), m = 0

Accepted Answer

Welcome back. I am so glad you're here. We are asked to find the equation of a line passing through the 0. negative 15 having a slope M equal to zero. We are to write the equation in the standard form. Will we recall from previous lessons that the standard form of an equation for a line is A X plus B Y equals C. Or in other words, we want the X and Y terms together on one side of the equal sign and the constant terms together on the other side. So how do we get from our point in our slope to this standard form? Well, we recall that there is an equation for the point slope form of a line which is Y minus Y one equals M times X minus X one where our point gives us that X sub one and then the Y sub one and then the slope is the M. So now we can fill in what we know we've got. The Y minus the Y sub one is negative 15 that equals the M M zero times X minus and the X sub one is 11. And so we can simplify this. Now, on the left hand side, why -20 is the same as why plus and on the right, zero times X minus 11, that's just zero. Well, we do want the Y terms together on one side of the equation and the constant terms on the other. So let's subtract 15 from both sides and we get Y equals negative 15, which is the standard form equation for this line. But it's very interesting. We notice that since we had a slope of zero, we recall from previous lessons that that's just going to be a Y equals line. And it's why is going to equal whatever the Y value is at a point which was negative 15. So brought us right back to that, we look at our answer choices for Y equals negative 15 and that matches with answer choice. A well done. We'll catch you on the next one.

Write an equation for each line described. Give answers in standard form for Exercises 11–20 and in slope-intercept form (if possible) for Exercises 21–32. through (5,-8), m = 0

Key Concepts

Equation of a Line

Slope of a Line

Forms of Linear Equations

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