What is the standard form equation of the line shown below? Graph of a line going through negative 2, 3 and 1, negative 3

1. y + 3 = −2(x − 1)
2. y = −2x − 1
3. 2x + y = −1
4. −2x − y = 1

3. 2x + y = −1

Step-by-step explanation:

To find the equation of the line, we write it first in the slope-intercept form:

where

m is the slope

q is the y-intercept

From the graph, we see that the line crosses the y-axis at y = -1, so the y-intercept is -1:

Now we have to find the slope, by calculating the rate of change of the line through 2 points:

Taking the two points at (-2,3) and (1,-3), we find:

So the equation of the line is

Now we have to re-arrange it in the standard form, so in the form

where a, b and c are integer numbers.

To do that, we simply add +2x on both sides of the equation of the line in the slope-intercept form, and we get:

So, option 3).

step-by-step explanation:

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step-by-step explanation: