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A line passes through the point (-4, 2) and has a slope of -5/4
Write an equation in slope-intercept form for this line.

Respuesta :

Answer:

The answer is

[tex]y = - \frac{5}{4} x - 3[/tex]

Step-by-step explanation:

To find an equation of a line when given the slope and a point we use the formula

[tex]y - y_1 = m(x - x_1) \\ [/tex]

where

m is the slope

( x1 , y1) is the point

From the question the point is (-4, 2) and has a slope of -5/4

The equation of the line is

[tex]y - 2 = - \frac{5}{4} (x + 4) \\ y - 2 = - \frac{5}{4} x - 5 \\ y = - \frac{5}{4} x - 5 + 2[/tex]

We have the final answer as

[tex]y = - \frac{5}{4} x - 3[/tex]

Hope this helps you

Answer:

y= -5/4x+2 or y= -5/4(-4)+2

Step-by-step explanation:

y=mx+b

(-4,2)

2=y

m=slope=-5/4

x=-4

I hope this helps.

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