Question

How do you write the equation of the line that passes through (2, 5) with a slope of 3 in standard form?

Answer 1

y = 3x - 1

Explanation:

Since given the slope and a point on the line then use the `color(blue)"point-slope form"` to obtain the equation.

`color(red)(|bar(ul(color(white)(a/a)color(black)(y-y_1=m(x-x_1))color(white)(a/a)|)))`
where m represents the slope and `(x_1,y_1) " a point on the line"`

here m = 3 and `(x_1,y_1)=(2,5)`

substitute these values into the equation.

`rArry-5=3(x-2)`

distribute the bracket and simplify.

`rArry-5=3x-6rArry=3x-1`