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Tomtit [17]
3 years ago
12

Use the interactive to graph the line that goes through the points (–4,–2) and (2,0). The point (a,1) lies on the line you graph

ed. What is the value of a?
Mathematics
2 answers:
SashulF [63]3 years ago
5 0
The equation of the line passing through points A(x_1,y_1), B(x_2,y_2) is:
y= \dfrac{y_2-y_1}{x_2-x_1}(x-x_1) +y_1.

If A(-4,-2) and B(2,0), then 
y= \dfrac{0-(-2)}{2-(-4)}(x-(-4))+(-2) \\ y= \dfrac{2}{6}  (x+4)-2 \\ y= \dfrac{1}{3} x- \dfrac{2}{3}.

<span>If point (a,1) lies on the line
</span>
y= \frac{1}{3} x- \frac{2}{3},

<span> then
</span>
1=\dfrac{1}{3} a- \dfrac{2}{3} \\  \dfrac{5}{3} =\dfrac{1}{3} a  \\ a=5.

Answer: y= \frac{1}{3} x- \frac{2}{3}, a=5.



levacccp [35]3 years ago
5 0

Answer:

the answer is 5!

Step-by-step explanation:

just did it and it was rightt

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