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Helen [10]
3 years ago
13

Graph the line with slope -3 passing through the point (5,-4)

Mathematics
1 answer:
Arada [10]3 years ago
8 0

Since we have the values of one point and the slope, we can graph that point and then, by using the slope, graph another point, and then have our line.


The first step is to draw (5, -4) on the coordinate plane. Now we can use the slope to help us figure out a second point.


The slope -3 says that for every -3 that we go up (for every 3 we go down), we go 1 to the right. So, we can subtract 3 from the y coordinate of our point (go down 3), and we can also add one to the x coordinate of our point (right 1).


This gives us our next point of (6, -7). Since we have to points, we can draw a line. The graph looks like:



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Determine the value of K that will cause f(x)=Kx^2+4x-3 to intersect the line g(x)=2x-7 at 2 points
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By using the definition of <em>second order</em> polynomials and the discriminant from <em>quadratic</em> formula, we conclude that the values of k must be less than 1/4.

<h3>How to determine the value of k such that a line intersects a quadratic equation</h3>

In this question we must determine the set of values of k such that the function g(x), a <em>linear</em> function, intersects a<em> quadratic</em> function f(x) at two points. In this case, we must solve the following <em>second order</em> polynomial:

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In this case, the discriminant of the equation described above must be <em>positive</em>:

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By using the definition of <em>second order</em> polynomials and the discriminant from <em>quadratic</em> formula, we conclude that the values of k must be less than 1/4.

To learn more on quadratic equations: brainly.com/question/17177510

#SPJ1

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