8. Write an equation that passes through

Mathematics

1 answer:

aleksklad [387]3 years ago

6 0

Answer:

y = -4x + 43

Step-by-step explanation:

The line on the graph passes through points (0,5) and (1,1)

The slope of this line = change in y ÷ change in x = $\frac{1 - 5}{1 - 0}$ = -4

Since our second line (i.e the line passing through point (7,15) is parallel to our first line (the one with the slope of -4), the slope of our second line is also equal to -4 .

Fact: Parallel lines have the same value of slope.

Taking another point (x,y) on the second line,

Slope = $\frac{y-15}{x-7}$ = -4

Cross-multiplying this gives; y - 15 = -4x + 28

Finally, y = -4x + 43

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$\bf slope = m = \cfrac{rise}{run} \implies 
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\begin{array}{llll}
average~rate\\
of~change
\end{array}\\\\
-------------------------------\\\\
f(x)= 20(14)^x \qquad 
\begin{cases}
x_1=1\\
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