Find the value of x so that the line through the points has the given slope
(2,2) and (x,9);slope: undefined
what is the slope?
is this given
slope = (9-2)/(x-2) =7/(x-2)
y=1/7x-2/7
oh, did not notice the "undefined"
line is x = 2
vertical line
To find the value of x such that the line passing through the points (2,2) and (x,9) has an undefined slope, we need to understand the concept of undefined slope.
The slope of a line is given by the formula (y2 - y1) / (x2 - x1), where (x1, y1) and (x2, y2) are the coordinates of any two points on the line.
The slope is undefined when the denominator (x2 - x1) equals zero. This occurs when the line is vertical, as in that case the line is going straight up and down, and there is no change in the x-coordinate.
In this situation, we have the two points (2,2) and (x,9), and we want the slope to be undefined. This means that (x2 - x1) should be equal to zero.
Using the formula, we have: (x - 2) = 0
To solve for x, we can add 2 to both sides of the equation: x = 2
Therefore, the value of x that makes the line passing through (2,2) and (x,9) have an undefined slope is x = 2.