The graph shows two straight lines. The equation of line A is y = 2 - x Work out the equation of line B.
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Answer:
Step-by-step explanation:
The equation of a line can be easily found from the graph. First, find two points on the line that intersect points on the graph, then plot the changes in the two axis in this manner (change in y)/(change in x), or rise/run. Thus, the slope of this line is 5/3. Then, the b in y = mx + b is simply when the line intersects the y-axis, in this case -5. Thus, the equation of the line is
y = -5/3x - 5
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If two lines are intersecting and one equation is y=2-x then the other equation will be y=5/3x-5.
An equation is a relationship between two variables. In this we have to use equal to sign.
From the figure we can see that line b and x axes intersect at (3,0) and the y axis intersect at (0,-5).It will show the points of line b that is (3,0) and (0,-5).
We have to just put in the standard form to get the values of a and b
y=ax+b
-5=a*0+b
b=-5
0=3a+b
put value of b in this we get
a=5/3
Hence the required equation will look like y=5/3x-5.
Learn more about equations at https://brainly.com/question/2972832
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