give the equation of the line that passes through point(5,1) and is parrellel to the y=3x-1.
thank you
Parallel ? that means same slope
y= 3x+b
put in the point (5,1) and solve for b. Then you have the equation.
Thank you
To find the equation of a line that is parallel to another line, we need to use the fact that parallel lines have the same slope.
Given that the equation of the line you want to be parallel to is y = 3x - 1, we can determine the slope, which is the coefficient of x, in this case, 3.
So for our line to be parallel, it must also have a slope of 3.
Now, we have the slope and a point (5, 1) that the line passes through.
To find the equation, we'll use the point-slope form of a line, which is: y - y1 = m(x - x1), where (x1, y1) is the given point, and m is the slope.
Substituting the values into the equation:
y - 1 = 3(x - 5)
Expanding the equation:
y - 1 = 3x - 15
Adding 1 to both sides to isolate y:
y = 3x - 14
Therefore, the equation of the line that passes through the point (5, 1) and is parallel to y = 3x - 1 is y = 3x - 14.