I don't get this
Find the equation of the line given the following information:
m=UD, x=-5
And I have to find the equation.
Then it says:
Identify the slope and y intercept from the following equations:
y=8, m=___, b=___
I also have to graph it.
But if it's UD, isn't there no y?
Thanks
m = UD
X = -5
Y = mx + b
Y = UD5 + 0
Y = UD5
Y = 8 is a hor. line.
b = 8 = Y-intercept
m = 0 = The slope of a hor. line.
Use the following points for graphing:
(-4,8)
(-2,8)
(0,8)
(2,8)
(4,8)
Note: Y is constant and does not vary;
it remains at 8 for all values of X.
y =
Correction: x = -5.
Eq: Y = -5UD
To find the equation of a line given the slope and a point, you can use the point-slope form of the equation:
y - y1 = m(x - x1)
In this case, you are given the slope (m) as UD (which stands for undefined or infinite). When the slope is undefined, it means the line is vertical and parallel to the y-axis.
You are also given a point (x1, y1) = (-5, ?). Since the x-coordinate is -5, the line passes through the point (-5, ?) on the x-axis.
Since the line is vertical and parallel to the y-axis, the x-value remains constant at -5, but the y-coordinate can be any real number. So, there is no specific y-value associated with this line.
Therefore, the equation of this vertical line can be written as x = -5.
Moving on to the second part of your question, you are given the equation y = 8. To identify the slope and y-intercept, you can observe the form of the equation, which is in slope-intercept form:
y = mx + b
Comparing this to the equation given (y = 8), you can see that the slope (m) is zero, and the y-intercept (b) is 8.
To graph this line, you would plot the point (0, 8) on the y-axis (y-intercept) and draw a horizontal line through it, since the slope is zero.