Question

Find the value of r so the line that passes through the pair of points has the given slope. (3, 5), (−3, r), m=34

Answer 1

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

$m = \frac{y_2 - y_1}{x_2 - x_1}$

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.

$m = \frac{y_2 - y_1}{x_2 - x_1} \\34 = \frac{r - 5}{-3 - 3}\\34 = \frac{r - 5}{-6}$

cross multiply both sides and make r the subject of formula

$34 * -6 = r - 5\\-204 = r - 5\\r = -204+5\\r = -199$

the value of r = -199.

This is not mathematically obtainable and we would use 3/4 as the value of slope

$\frac{3}{4}= \frac{r - 5}{-3 - 3}\\\frac{3}{4}=\frac{r - 5}{-6}\\4(r-5) = 3 * -6\\4r- 20 = -18\\4r = -18 +20\\4r = 2\\r = \frac{1}{2}$

The most logical value of r = 1/2

Learn more on slope here;

brainly.com/question/4074386