Question

What is the equation of the line that passes through the points (5,3) and
(5,-2)?

Answer 1

x = 5

Explanation:

I'm going to assume that this is asking you to graph in Slope-Intercept form, but if I am mistaken, comment on my answer and I will happily change it.

Slope-Intercept form:

y = mx + b

You leave y and x as variables, while m and b are to be substituted for slope and y-intercept. y-intercept is when x=0, where a point on a line is on the y axis.

To help you learn, for example, we have an equation is slope-intercept form:

y = 8x + 3

In this case, the slope is 8 and the y intercept is 3 as m is the slope and b is the y-intercept.

The slope is the steepness of the graph. The value of the slope is how much the y-value increases if the x-value increases by 1.

We can find the slope from 2 points using this formula:

`(y_2 - y_1)/(x_2 - x_1)`

So, we plug in our points into the formula.

`(-2-3)/(5-5)`

Simplify.

`(-5)/(0)`

Anything divided by 0 is undefined. This means the line we are graphing is completely vertical, known as undefined. We can only get this if the x value stays the same no matter what. In this case, the x value stays the same when the y value changes, meaning a undefined slope.

We have a special case here. If the slope is undefined, we do not use y = mx+b. Instead, we use:

x = what the x values of the 2 points are

x values of both points: 5

x = 5