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SashulF [63]
3 years ago
15

I need help finding the slope

Mathematics
1 answer:
MAVERICK [17]3 years ago
4 0

Answer:

slope = 1/4

Step-by-step explanation:

To find the slope, I chose two points where the line intersected the graph at an exact point.

Points:

(0, -8)

(4, -7)

Slope is the measure of rise over run, so starting at (0, -8) I went up one and to the right 4 times.

To put this as a fraction, we would have: 1/4

The numerator and denominator are positive because we went up and to the right.

Therefore, the slope is 1/4.

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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).

x_{1}=-15, x_{2}=-7, y_{1}=1 \text { and } y_{2}=7

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)

40 = 4r – 4

Add 4 on both side of the equation.

44 = 4r

Divide by 4 on both side of the equation.

11 = r

⇒ r = 11

Hence the missing coordinate r is 11.

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