Question

What is the equation of the line shown in the graph?

Put responses in the correct input to answer the question. Select a response, navigate to the desired input and insert the response. Responses can be selected and inserted using the space bar, enter key, left mouse button or touchpad. Responses can also be moved by dragging with a mouse.
Drag and drop the expressions to write the equation of the line in slope-intercept form.

y = Response area + Response area

Answer 1

Answer: -x -2

Step-by-step explanation: I took the test

Answer 2

What is slope-intercept form?

Slope-intercept is an equation of a line [y= mx + b] where m is the slope and b is the y intercept. Both of these pieces of information can be found looking at the graph you were given:

To find the y intercept, find the point when the line crosses over the y axis. For this line, it cross the y axis at point (0, -2) or y= -2

To find the slope, you must use the slope formula:

y₂ - y₁ / x₂ - x₁

*(x₁, y₁) and (x₂, y₂) are two different coordinates.*

• You have been given the coordinates (-3, 1) and (-4, 2)

PLUG THESE POINTS INTO THE SLOPE FORMULA:

`(2-1)/(-4 -(-3))` =
`(1)/(-4 + 3)` =
`(1)/(-1)` = -1 = m

Now that you have m and b (the slope and y intercept) you can write your final equation in slope-intercept form:

y = -x - 2