Answer:
[tex]y=-\frac{4}{3} x+2[/tex]
Step-by-step explanation:
In order to write an equation that represents a line, you have to write it in Slope-Intercept Form.
Slope-Intercept Form: y = mx+b
Where b represents the Y-intercept
Where m represents the Slope
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That's all you need to know about Slope-Intercept Form!
How do we get started?
Well first off, take a look at the graph and spot two points that are shown
The two points will be: (0, 2) and (3, -2)
Then use the two points to Solve for the Slope of the line!
m = slope
m = [tex]\frac{y2-y1}{x2-x1}[/tex] Second y - first y/ Second x - First x
m = [tex]\frac{-2-2}{3-0}[/tex]
m = [tex]\frac{-4}{3}[/tex] Turn the whole answer negative since there's a negative
m = [tex]-\frac{4}{3}[/tex] Final Answer
so the slope of the line is -4/3
Now we need to get the Y-intercept of the line!
Easy we don't need to solve just look how many units the graph goes up in y-axis?
2 units
so the y-intercept of the line is 2
Equation: y = -4/3x + 2
