Answer:
y = x+18
Step-by-step explanation:
I'm not too sure about the terminology but I hope this helps!
In order to find the equation of any line, one can use the equation
<h3>m (gradient) = (y1 – y2
) ÷ (x1 – x2)</h3>
(3,21) is the first named point; therefore, 3=x1 and 21=y1
Following the same logic, for the second point, 8=x2 and 26=y2.
Next, substitute these values into the equation above:
m = (21-26)÷(3-8)
m = -5/-5 = 1
Therefore, the gradient of this line is 1. So far our y=mx+c line equation has this information:
y=1x+c
Plugging in x and y values gives the y intercept (c):
21=3+c (the values from point (8,26) can also be used here)
c = 18
Therefore, the line equation is y = x + 18
As a function, this could be f(x) = x + 18 (although I'm not too sure about this part!)
I hope this helped.
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