Question

What is the equation of the line through the origin and (7, 2)?​

Answer 1

y = 2/7x

Explanation:

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Answer 2

Equation of line passing through origin and (7,2) is:
`y = (7)/(2)x`

Explanation:

The general form of equation of line is given by:

`y = mx+b`

When a line passes through origin it has no y-intercept so the equation will become

`y = mx`

Slope is given by the formula

`m = (y_2-y_1)/(x_2-x_1)`

Here,

(x1,y1) = (0,0)

(x2,y2) = (7,2)

Putting the values in the formula

`m = (7-0)/(2-0) = (7)/(2)`

Putting the value of slope in equation of line

`y = (7)/(2)x`

Hence,

Equation of line passing through origin and (7,2) is:
`y = (7)/(2)x`