Determine the slope and y-intercept of the graph: 3x + y = 8.
I found the y-intercept but i can't find the slope.
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Given the equation of the line:
3x + y= 8
==> y= 8-3x
We need to find the slope and the y-intercept.
The slope if the factor of x when the equation is written in the slope-form y=mx + b ==> Then the slope is m.
==> Then, in your question the slope is m= -3
The y-intercept is the point such that the line intersects with the y-axis. Then, the value of x is 0.
We will substitute with x=0 and determine y-coordinate.
==> y= 8-3x = 8-3(0)= 8
Then y-intercept is the point (0,8).
3x + y= 8
=y= 8-3x as y=mx+c where m is the slope
Now x=0 since zero on the x-axis is the y-axis
= y= 8-3x = 8-3(0)= 8
Then y-intercept is the point (0,8). [ans]
3x + y = 8
Rewrite the equation as y =mx+c type
y = -3x + 8
therefore slope of the line = (-3)
y-intercept is the point (0,8)
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