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4 years ago

Which equation represents a line that passes through (-2, 4) and has a slope of 2/5

Mathematics

1 answer:

Sveta_85 [38]4 years ago

6 0

Answer:

see explanation

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Here m = $\frac{2}{5}$ , thus

y = $\frac{2}{5}$ x + c ← is the partial equation

To find c substitute (- 2, 4) into the partial equation

4 = - $\frac{4}{5}$ + c ⇒ c = 4 + $\frac{4}{5}$ = $\frac{24}{5}$

y = $\frac{2}{5}$ x + $\frac{24}{5}$ ← equation of line

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3 years ago

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Step-by-step explanation:

If we draw a triangle with the information given (see image attached), we have that the angle Lila-Avery-Mark is equal to 70°. Then, to find the distance between Mark and Lila, we just need to use the law of cosines, using the two sides given and the angle between them:

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