Write an equation in slope intercept form when given two pieces of key information about the line
Goes through the points (1, 11) and (1, -2)
The given information states that the line goes through the points (1, 11) and (1, -2).
To write an equation in slope-intercept form (y = mx + b), we need to find the values of slope (m) and y-intercept (b).
First, let's calculate the slope (m) using the formula:
m = (y2 - y1)/(x2 - x1)
Using the points (1, 11) and (1, -2):
m = (-2 - 11)/(1 - 1)
m = (-13)/(0)
Since we have division by 0, it implies that the line is vertical, and the slope is undefined. Therefore, the equation cannot be expressed in slope-intercept form since it does not have a defined slope.
Alternatively, we can check if there's a pattern in the given points. In this case, both points have the same x-coordinate (1), which means the line is vertical and parallel to the y-axis.
In that case, we can write the equation as x = 1 since x is constant (always equal to 1) and there is no direct relationship with y or slope.