3 years ago

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Mathematics

1 answer:

m_a_m_a [10]3 years ago

4 0

Step-by-step explanation:

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The points , (−15,1) and , (−7,r) lie on a line with slope 5/4. Find the missing coordinate r. Click image to enlarge

Nadya [2.5K]

The missing coordinate r is 11.

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Given points are (–15, 1) and (–7, r).

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Slope (m) = $\frac{5}{4}$

<u>To find the missing coordinate r:</u>

Slope formula:

$m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}$

Substitute the given values in the formula.

$$\frac{5}{4}=\frac{r-1}{-7-(-15)}$

$$\frac{5}{4}=\frac{r-1}{-7+15}$

$$\frac{5}{4}=\frac{r-1}{8}$

Do cross multiplication.

$8 \times 5=4(r-1)$

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Add 4 on both side of the equation.

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Divide by 4 on both side of the equation.

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