Respuesta :
Answer:
Slope is 1/3
y-intercept = -4
Step-by-step explanation:
The equation;
y = 1/3x - 4 is an equation of a straight line on cartesian plane.
The slope is just derived from 1/3x and its 1/3
The y intercept is when x = 0 and its -4
The slope of the line is 1/3 and the y-intercept of the line is -4
From the question,
We are to determine the slope and y-intercept of the given equation,
First, we will rewrite the equation properly
The given equation of line is y = 1/3x-4
The equation written properly is
[tex]y = \frac{1}{3}x -4[/tex]
Now, to determine the slope and y-intercept of the given equation,
We will compare the equation to the slope-intercept form of an equation of a straight line
The slope intercept form of an equation of a straight line is
[tex]y = mx +c[/tex]
Where m is the slope
and c is the y-intercept
Now,
Comparing [tex]y = \frac{1}{3}x -4[/tex] to [tex]y = mx +c[/tex]
[tex]m = \frac{1}{3}[/tex] and [tex]c = -4[/tex]
∴ Slope = 1/3 and y-intercept = -4
Hence, the slope of the line is 1/3 and the y-intercept of the line is -4
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