Write the equation of the line passing through (2,-3) and (2,4). Write the answer in slope-intercept form.

Oh, sorry about that.

The line is vertical. You can see this by sketching a quick graph and plotting the two points. Therefore, its slope is undefined. Since the line is vertical, the equation will be in the form x = ___.

To find the equation of a line passing through two given points, we can use the slope-intercept form of a line equation: y = mx + b, where m is the slope of the line, and b is the y-intercept.

First, let's find the slope (m) of the line. The formula for finding the slope (m) between two points (x1, y1) and (x2, y2) is: m = (y2 - y1) / (x2 - x1).

Given the points (2, -3) and (2, 4), we can calculate the slope as follows:
m = (4 - (-3)) / (2 - 2)
m = 7 / 0 (division by zero is undefined)

Since the denominator is zero, we cannot determine a finite slope for this line. This means that the line is vertical and parallel to the y-axis, and it does not have a slope-intercept form.

However, we can still write the equation of the line. Since the line passes through the point (2, -3), we can say that the x-coordinate of every point on the line is 2. Therefore, the equation of the line is simply x = 2.

To find slope, use (y2-y1)/(x2-x1) to get a numerical value. Slope is "m" in the formula y = mx + b.

Now, plug one of the points into the equation y=mx+b to solve for b.

You have m & b. Put them into slope-intercept form.

We'll be glad to check your answer if you show your work.

-3-4= -7 It doesn't seem right

2-2 0