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Write the slope-intercept form of the equation of the line described by (−4, −5), parallel to y = −2x − 5.

Sagot :

Answer:

[tex]y = -2x - 13[/tex]

Step-by-step explanation:

Equation of a line:

The equation of a line, in slope-intercept formula, is given by:

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

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

Parallel lines:

If two lines are parallel, they have the same slope.

y = −2x − 5.

This line has slope [tex]m = -2[/tex], which is the same as the line we want to find, as they are parallel. So

[tex]y = -2x + b[/tex]

(−4, −5)

This means that when [tex]x = -4, y = -5[/tex]. We use this to find b. So

[tex]y = -2x + b[/tex]

[tex]-5 = -2(-4) + b[/tex]

[tex]b = -5 - 8 = -13[/tex]

So

[tex]y = -2x - 13[/tex]

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