contestada

Write a linear equation in the form y = mx + b that has a slope of 4 and passes through the point (–2, –5)

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A)
y = 4x – 2

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B)
y = 4x – 5

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C)
y = 4x – 13

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D)
y = 4x + 3

Respuesta :

Answer:

(D). [tex]y =4x + 3[/tex]

Step-by-step explanation:

Given:

Slope of the line (m) = 4

A point on the line is, [tex](x_1,y_1)=(-2,-5)[/tex]

Now, the point-slope form of a line is given as:

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

Plug in the given values and simplify the equation in the form [tex]y=mx+b[/tex].

This gives,

[tex]y-(-5)=4(x-(-2))\\\\y+5=4(x+2)\\\\y+5=4x+8...(Distributive\ property)\\\\y=4x+8-5...(Subtraction\ property\ of\ equality)\\\\y=4x+3[/tex]

Therefore, the correct option is (D). y =4x + 3