The algebraic equation for the line whose slope is m = 1 and passes through point (3 , 3) is y = x
Step-by-step explanation:
The algebraic equation of a line whose slope is m and passes
through point [tex](x_{1},y_{1})[/tex] is
- [tex]y-y_{1}=m(x-x_{1})[/tex]
- This form is the slope-point form of the equation of a line
∵ The slope of the line is m = 1
∵ The line passes through point (3 , 3)
∴ [tex]x_{1}[/tex] = 3
∴ [tex]y_{1}[/tex] = 3
- Substitute these values in the form of the equation
∵ [tex]y-y_{1}=m(x-x_{1})[/tex]
∴ y - 3 = (1)(x - 3)
- Simplify it
∴ y - 3 = x - 3
- Add 3 to both sides
∴ y = x
The algebraic equation for the line whose slope is m = 1 and passes through point (3 , 3) is y = x
Learn more:
You can learn more about the linear equation in brainly.com/question/3965451
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