Question

Through: (1, 2), parallel to y=-3x - 3​

Answer 1

The equation of the line that parallel to y = -3 x - 3 and passes

through the point (1 , 2) is y = -3 x + 5

Step-by-step explanation:

The slope-intercept form of an equation of a line is y = m x + c, where

m is the slope of the line and c is the y-intercept

→ Parallel lines have same slopes

→ Parallel lines have different y-intercepts

∵ The equation of a line is y = -3 x - 3

∵ The slope-intercept form of the equation of a line is y = m x + c

∴ m = -3

Let us write the equation of a line that parallel to the line y = -3 x - 3

∵ Parallel lines have same slopes

∵ The slope of the line above = -3

∴ The slope of the line = -3

∴ The equation of the line is y = -3 x + c

To find c substitute x and y in the equation by the coordinates of a

point lies on the line

∵ The line passes through the point (1 , 2)

- substitute x by 1 and y by 2 in the equation

∴ 2 = -3(1) + c

∴ 2 = -3 + c

- Add 3 to both sides

∴ 5 = c

- substitute the value of c in the equation

∴ The equation of the line is y = -3 x + 5

The equation of the line that parallel to y = -3 x - 3 and passes

through the point (1 , 2) is y = -3 x + 5

Learn more:

You can learn more about parallel lines in brainly.com/question/10483199

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