Question

Use the interactive to graph a line with a slope of zero

and passing through the point (0,4).
Which statements are true for the graph? Check all th
apply.
The line is horizontal.
The line is vertical.
The line goes through (0,0).
The line goes through (4,4).
The x-values are all 0.
The y-values are all 4.

Answer 1

see explanation

Explanation:

Given a line with a slope of zero.

This is a horizontal line parallel to the x- axis.

The equation of the line is y = c

where c is the value of the y- coordinates the line passes through.

The line passes through (0, 4 ) with a y- coordinate of 4, thus

Equation of line is y = 4

Thus

The line is horizontal

The line goes through (4, 4 )

The y- values are all 4

Answer 2

The line is horizontal.

The line passes through (4,4)

The y values are all 4

Explanation:

We are given the following information n the question:

Slope of line = 0

The line passes through the point (0,4)

We can find the equation of line with the help of point slope form of the straight line:

`(y-y_1) = m(x - x_1)\\\text{where } (x_1, y_1) \text{ is a point from whch the line passes and m is the slope of the line.}`

Putting the values, we get:

`y-4 = 0(x - 0)\\y-4 = 0\\y = 4`

is the required equation of line.

The attached image shows the graph for the line obtained.

From the graph, we can write the following:

The line is horizontal.

The line passes through (4,4)

The y values are all 4