Question

Find the equation of a line passing through the points (2,1) and (4,7).

Answer 1

The point-slope form:

`y-y_1=m(x-x_1)`

m - slope

(x₁, y₁) - point

The formula of a slope:

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

We have the points (2, 1) and (4, 7). Substitute:

`m=(7-1)/(4-2)=(6)/(2)=3`

`\boxed{y-1=3(x-2)}` point-slope form

`\boxed{y=3x-5}` slope-intercept form

`\boxed{3x-y=5}` standard form