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Choose the equation that represents the line that passes through the point (2, 6) and has a slope of −5.

y = −5x + 2
y = −5x − 6
y = −5x − 4
y = −5x + 16

Respuesta :

calculista

Answer:

[tex]y=-5x+16[/tex]

Step-by-step explanation:

we know that

The equation of a line in point slope form is equal to

[tex]y-y1=m(x-x1)[/tex]

we have

[tex]point\ (2,6)\\m=-5[/tex]

substitute the values

[tex]y-6=-5(x-2)[/tex] ----> equation in point slope form

Convert to slope intercept form

[tex]y=mx+b[/tex]

Distribute the right side

[tex]y-6=-5x+10[/tex]

Adds 6 both sides

[tex]y=-5x+10+6[/tex]

[tex]y=-5x+16[/tex]

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