What is y-intercept form of the equation of a line that passes through point (3,4) and has a slope of 3?

Oct 20, 2015

$- 5$

Explanation:

With the given, we can use the point-slope form

$y - {y}_{1} = m \left(x - {x}_{1}\right)$

we can now substitute the given

$y - 4 = 3 \left(x - 3\right)$

$y - 4 = 3 x - 9$

to know the y-intercept, we will use the slope-intercept form

$y = m x + b$

$y = 3 x - 9 + 4$

$y = 3 x - 5$

$b$ is the y- intercept = $- 5$