contestada

Write the equation of a line in slope intercept form that has a slope of 3 and goes through the point (2,-4).

Respuesta :

Answer: [tex]y = 3x - 10[/tex]

Step-by-step explanation:

The formula for finding equation of line when a point and a slope is given is :

[tex]y - y_{1} = m (x - x_{1})[/tex]

[tex]x_{1}=2[/tex]

[tex]y_{1} = -4[/tex]

[tex]m = 3[/tex]

substituting into the formula , we have

[tex]y - (-4)[/tex] = [tex]3(x-2)[/tex]

[tex]y +4 = 3x - 6[/tex]

[tex]y = 3x - 6 - 4[/tex]

[tex]y = 3x - 10[/tex]