Answer:
The equation of the line that parallel to y = -3 x - 3 and passes
through the point (1 , 2) is y = -3 x + 5
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
Explanation: