The slope of line whose equation is y=-x+8 is equal -1.
What is slope?
The slope is basically upward or downward slant or inclination of degree. Slope is calculated by finding the ratio of the vertical change between two distinct points on a line. The formula of calculating slope from any two points is as under:
Slope=[tex](y_{2} -y_{1} )/(x_{2} -x_{1} )[/tex].
If a line is given in standard form of y=mx+c then we can find the slope by comparing because m is the slope in that equation.
How to calculate slope?
The given equation of the line is y=-x+8. We can find the slope in two ways:one through just comparing and other one is through finding points and then calculate.
First way: Through comparing with standard form of equation.
Standard form of an equation is y=mx+c where m is slope.
The given equation is y=-x+8. When we compare both equations we will find that m=-1. So the slope is -1.
Second way: Through finding points first.
Given equation:y=-x+8
put x=0 , y will be 8.
put x=1 , y will be 7
points are (0,8),(1,7)
Formula of slope is [tex](y_{2} -y_{1} )/(x_{2} -x_{1} )[/tex]
Slope=(7-8)/(1=0)
=-1/1
=-1
Hence the slope of line whose equation is y=-x+8 is -1.
Learn more about slope at https://brainly.com/question/3493733
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