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Ksju [112]
3 years ago
13

Write an equation of the line in slope intercept form

Mathematics
1 answer:
Lelu [443]3 years ago
5 0

Answer: y = x + 2 OR f(x) = x + 2

Step-by-step explanation:

Calculating slope:

Remember rise over run; when going from one point to another point, in this case from (-3, -1) to (0,2), locate the distance moved in the x and y directions. This scenario moves 3 up and 3 right, meaning a positive slope of one. However, if the line was directed left, your slope would be negative.

Finding y-intercept:

Where does the line intersect the y-axis and have a x-value of 0? This is your y-intercept --> (0,2).

Write Equation:

y = mx +b

y = 1x + 2

y = x + 2 <em>(your final answer)</em>

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The picture shows a triangular island:
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Answer:

The expressions that show the value of q are

1) q=\sqrt{r^{2}+s^{2}}

2) q=\frac{s}{cos(55\°)}

3) q=\frac{r}{sin(55\°)}

4) q=\frac{s}{sin(35\°)}

5) q=\frac{r}{cos(35\°)}

Step-by-step explanation:

see the attached figure to better understand the problem

we know that

case A)

In the right triangle of the figure

Applying the Pythagoras Theorem

q^{2}=r^{2}+s^{2}

q=\sqrt{r^{2}+s^{2}}

case B)

In the right triangle of the figure

cos(55\°)=\frac{s}{q}

solve for q

q=\frac{s}{cos(55\°)}

case C)

In the right triangle of the figure

sin(55\°)=\frac{r}{q}

solve for q

q=\frac{r}{sin(55\°)}

case D)

In a right triangle

if A+B=90\°

then

cos(A)=sin(B)

therefore

q=\frac{s}{cos(55\°)}------> q=\frac{s}{sin(35\°)}

q=\frac{r}{sin(55\°)} ------>  q=\frac{r}{cos(35\°)}

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