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Find an equation of the line having the given slope and containing the given point.
4
m =
(1, -8)
5
The equation of the line is y=0
(Type an expression using x as the variable. Simplify your answer. Use integers or fractions for any numbers in the

Respuesta :

Answer:

[tex]y = 4x - 12[/tex]

Step-by-step explanation:

The equation of a line has the following format:

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

In which m is the slope and b is the y-intercept(value of x when y = 0).

In this question:

Slope 4, which means that [tex]m = 4[/tex].

So

[tex]y = 4x + b[/tex]

Contains point (1,-8).

This means that when [tex]x = 1, y = -8[/tex]. We replace this into the equation to find b. So

[tex]y = 4x + b[/tex]

[tex]-8 = 4(1) + b[/tex]

[tex]b = -12[/tex]

So

[tex]y = 4x - 12[/tex]

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