Question

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

Answer 1

Answer:

Equation of line passing through origin and (7,2) is: $y = \frac{7}{2}x$

Step-by-step 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

$m = \frac{y_2-y_1}{x_2-x_1}$

Here,

(x1,y1) = (0,0)

(x2,y2) = (7,2)

Putting the values in the formula

$m = \frac{7-0}{2-0} = \frac{7}{2}$

Putting the value of slope in equation of line

$y = \frac{7}{2}x$

Hence,

Equation of line passing through origin and (7,2) is: $y = \frac{7}{2}x$

Answer 2

Answer:

y = 2/7x

Step-by-step explanation:

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