Answer:
3
Step-by-step explanation:
In order to find the slope using two points, you set the points up in this equation. [tex]\frac{y^{2 - y ^{1} } }{x ^{2} - x ^{1} } = m[/tex] M is the slope of the equation.
1. Plug in the information you know. [tex]y^{2}[/tex] is the second point's y, so 0. [tex]y^{1}[/tex] is the first point's y, so 5. [tex]x^{2}[/tex] is the second point's x, 2. [tex]x^{1}[/tex] is the first point's x. They did not give us a number but instead, [tex]w[/tex]. The equation you set up should look like this.
[tex]\frac{0-5}{2-w} = \frac{5}{1}[/tex]
2. Now we solve. Put the 5/1 to the side for now. The first part of the fraction: 0-5 can be easily solved. The answer would be -5.
[tex]\frac{0-5}{2-w} = \frac{-5}{b} = \frac{5}{1}[/tex]
I put [tex]b[/tex] there to indicate that we haven't solved for that number yet.
3. For the bottom half of the fraction. We can't really do [tex]2-w[/tex]. What it basically is asking is whatever [tex]w[/tex] is, it's a number that can be subtracted by 2 and make that -5/b fraction equal to 5/1. We have to change that -5 to a positive 5 and in order to do that, we have to have the denominator be a negative so that negative 5 can be divided into a positive 5. There can only be one number for that: -1. And 3-2 equals -1.
So w would be -1. [tex]w=-1[/tex]
[tex]\frac{0-5}{2-1}=\frac{-5}{-1} = \frac{5}{1}[/tex]
