Question

What is the equation of the line in slope-intercept form?

A. y=−2x−4
B. y=4x−2
C. y=−4x−2
D. y=−4x+2

Answer 1

the equation of the line in slope-intercept form is
`\( y = -4x - 2 \)`.

Therefore, option C is correct

To find the equation of the line in slope-intercept form, which is
`\( y = mx + b \)`, we need to determine the slope
`(\( m \))` and the y-intercept
`(\( b \))` from the given points.

Here are the steps:

1. Calculate the slope
`(\( m \))` using the formula:

`\[ m = (y_2 - y_1)/(x_2 - x_1) \]`

where
`\( (x_1, y_1) \)` and
`\( (x_2, y_2) \)` are the coordinates of the two given points.

2. Use one of the points and the slope to solve for
`\( b \)`, the y-intercept, in the slope-intercept equation
`\( y = mx + b \)`.

Let's perform these calculations with the given points (-2, 6) and (0, -2).

The slope
`(\( m \))` of the line is -4.0, and the y-intercept
`(\( b \))` is -2.0.

So, the equation of the line in slope-intercept form is
`\( y = -4x - 2 \)`.

Therefore, the correct option based on the given multiple choices is:

`C. \( y = -4x - 2 \)`

Answer 2

C because you count up four to left 1 and that’s a positive slope