Question

Write an equation that represents the line.​

Answer 1

`\boxed{\tt y=-\cfrac{4}{3} \:x+2}`

Explanation:

Given the graph, we can see that the line passes through (0,2) and (3,-2).

We are given the y-intercept → (0,2), now, find the slope-intercept form of the line.

`\tt slope=\cfrac{(-2)-2}{3-0}\:\:\boxed{\tt Subtract}`

`\tt =\cfrac{-4}{3}`

`\tt =-\cfrac{4}{3}`

Therefore, the equation that represents the line is:-

`\boxed{\tt y=-\cfrac{4}{3} \:x+2}`

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