Write an equation of a line that passes through the point (-2, 4) and has a slope of 5.

Mathematics

1 answer:

kramer3 years ago

5 0

Answer:

y = 5x + 14

Step-by-step explanation:

An equation consists of y = mx + b. The m is the slope, which we already know is 5.

To find the y-intercept, plug the coordinates into the equation so far, which is y = 5x + b.

y = 5x + b

4 = 5(-2) + b

4 = -10 + b

14 = b

So the equations is y = 5x + 14.

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Helga [31]

The measure of angle J is 19.8°, and the correct option is D.

<h3>What is the formula of cosine?</h3>

The law of cosine or cosine rule in trigonometry is a relation between the side and the angles of a triangle. Suppose a triangle with sides a, b, c and with angles cosC.

The following formula is used to find the angle j is;

$\rm j^2 = h^2 + i^2 -2hicosC$

Triangle HIJ has side lengths h=12, i = 17, j = 7.

Substitute all the values in the formula;

$\rm j^2 = h^2 + i^2 -2hicosJ\\\\(7)^2=(12)^2+(17)^2-2 \times 12 \times 17 cosJ\\\\49=144+289-408cosJ\\\\144+289 -49 =408cosJ\\\\384 =408cosJ\\\\cosJ=\dfrac{384}{408}\\\\cosj = 0.94\\\\J =cos^{-1}(0.94)\\\\J=19.8$