What type of lines have a slope of zero?
Write the equation of a line with the slope of -2 which contains the point (3,6)
The x-axis has 0 slope. What about any other line with 0 slope?
Use y-y1=m(x-x1) with m=-2, x1=3 and y1=6
What??
These were your questions and my responses.
Q1
What type of lines have a slope of zero?
A1
The x-axis has 0 slope. What about any other line with 0 slope?
Comment:Wouldn't it be parallel to the x-axis?
Q2
Write the equation of a line with the slope of -2 which contains the point (3,6)
A2
Use y-y1=m(x-x1) with m=-2, x1=3 and y1=6
Comment:Does this formula look familar?
Now what is your question?
so wait for number 1 would it be parrallel lines and for number 2 it still looks confusing!!
Yes, 1 is lines parallel to the x-axis.
2. wants you to use the point slope form for the line. You're asked
Write the equation of a line with the slope of -2 which contains the point (3,6)
y-6=-2(x-3) or y=-2x +12
-2 is the slope and 12 is the y intercept. As a check substitute 3 for x to get y=-2*3+12=6 which is true.
Yes, for question 1, lines with a slope of zero are parallel to the x-axis.
For question 2, the formula given is the point-slope form of a linear equation, which is y-y1 = m(x-x1). In this case, you're given the slope m = -2 and the point (x1, y1) = (3, 6). Plugging these values into the formula, you get y-6 = -2(x-3). Simplifying this equation, you get y = -2x + 12. This is the equation of the line with a slope of -2 that passes through the point (3, 6).
To check if this equation is correct, you can substitute the x-coordinate of the given point (3) into the equation and see if you get the y-coordinate (6) as a result. In this case, if you substitute x = 3 into the equation y = -2x + 12, you get 6 = -2(3) + 12, which is true. Therefore, the equation y = -2x + 12 is correct.