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Sagot :
The value (y2) of r = 1/2.
This question relates to equation of a straight line but we are looking for the slope in this case.
Slope
This is the ratio to which we measure the change along the y-axis to the change along the x-axis. The formula is given as
[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]
Data given;
- x1 = 3
- x2 = -3
- y1 = 5
- y2 = r
- m = 34 or 3/4
Substitute the values into the equation and solve for the unknown
NB; we are assuming that the slope here is 34 and not 3/4.
[tex]m = \frac{y_2 - y_1}{x_2 - x_1} \\34 = \frac{r - 5}{-3 - 3}\\34 = \frac{r - 5}{-6}\\[/tex]
cross multiply both sides and make r the subject of formula
[tex]34 * -6 = r - 5\\-204 = r - 5\\r = -204+5\\r = -199[/tex]
the value of r = -199.
This is not mathematically obtainable and we would use 3/4 as the value of slope
[tex]\frac{3}{4}= \frac{r - 5}{-3 - 3}\\\frac{3}{4}=\frac{r - 5}{-6}\\4(r-5) = 3 * -6\\4r- 20 = -18\\4r = -18 +20\\4r = 2\\r = \frac{1}{2}[/tex]
The most logical value of r = 1/2
Learn more on slope here;
https://brainly.com/question/4074386
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