Question

Find the equation of the line using the given information.

(x, y) = (-3,0) and (x, y) = (-3, 5) are points on the line

Pls help

Answer 1

x 1 = -3

x2 = -3

y1 = 0

y2 = 5

The slope of that equation is infinite and the equation is a perfectly vertical line at x = -3.

So, the equation is x = -3.

Explanation:

Answer 2

Given parameters:

The coordinates of points on the line;

(x, y) = (-3,0) and (x, y) = (-3, 5)

Unknown;

The equation of the line = ?

The equation of a line is usually expressed in the form y = mx + c

Where;

y and x are the coordinates

m is the slope

c is the y-intercept

Now we need to first find the slope of the line.

Slope =
`(y_(2) - y_(1) )/(x_(2) - x_(1) )`

(x₁, y₁) = (-3,0) and (x₂, y₂) = (-3, 5)

Input the parameters and solve;

Slope =
`(5 - 0)/(-3 -(-3))` = infinity

The line has an infinite slope.

The equation of the line is therefore x = c

x = -3