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Blababa [14]
3 years ago
7

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

Mathematics
1 answer:
V125BC [204]3 years ago
6 0

Answer:

3. 2x + y = −1

Step-by-step explanation:

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

y=mx+q

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:

q=-1

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

m=\frac{y_2-y_1}{x_2-x_1}

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

m=\frac{-3-3}{1-(-2)}=\frac{-6}{3}=-2

So the equation of the line is

y=-2x-1

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

ax+bx=c

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:

y+2x=-1

So, option 3).

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