Question

What is the equation of the line with the given slope and y-intercept? Choose the correct answer in slope-intercept form and standard form. M=1/3, b=13

Answer 1

see explanation

Explanation:

the equation of a line in slope- intercept form is

y = mx + b ( m is the slope and b the y-intercept )

here m =
`(1)/(3)` and b = 13, hence

y =
`(1)/(3)` x + 13 ← in slope- intercept form

The equation of a line in standard form is

Ax + By = C ( A is a positive integer and AB, C are integers )

multiply all terms in the slope-intercept form by 3

3y = x + 39 ( subtract 3y from both sides )

0 = x - 3y + 39 ( subtract 39 from both sides )

x - 3y = - 39 ← in standard form