Question

Given the two points: (0,6) and (6, 18), write the equation of the line.y = 2x + 6y = 1/2 x + 6y = 1/3 x + 6y = 3x + 6

Answer 1

Answer:

Given that to find the equation of the line that passes through the two points.

$\left(0,6\right),\left(6,18\right)$

we know that,

Equation of the line that passes through the two points (x1,y1) and (x2,y2) is

$\frac{y-y1}{y2-y1}=\frac{x-x1}{x2-x1}$

Substitute the values, x1=0, y1=6, x2=6, y2=18

we get,

$\frac{y-6}{18-6}=\frac{x-0}{6-0}$$\frac{y-6}{12}=\frac{x}{6}$$y-6=\frac{12x}{6}$$y-6=2x$$y=2x+6$

Answer is: The required equation of a line is y = 2x + 6.