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3,-1 with a slope of -2

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5 votes

The complete question is: Write an equation in slope-intercept form through (3,-1) with a slope of -2.

Considering the definition of a line, the equation of the line that passes through the point (3, -1) and has a slope of -2 is y= -2x + 5.

Linear equation

A linear equation o line can be expressed in the form y = mx + b

where

  • x and y are coordinates of a point.
  • m is the slope.
  • b is the ordinate to the origin and represents the coordinate of the point where the line crosses the y axis.

Line in this case

In this case, you know:

The line has a slope of -2.

The line passes through the point (3, -1).

Substituting the value of the slope m and the value of the point in the expression of a linear equation, the value of the ordinate to the origin b can be obtained:

-1= (-2)×3 + b

-1= -6+ b

-1 +6= b

5= b

Finally, the equation of the line that passes through the point (3, -1) and has a slope of -2 is y= -2x + 5.

User Karo
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