Question

What is the y intercept of the line that passes through the point 3, 4 and has a slope of 3

Answer 1

(0, -5)

Step-by-step explanation:

Since we are given the slope and a point on the line, we can use these to write the point-slope form of the equation of the line, which looks this this:

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

where $(x_1, y_1)$ is the point on the line and m is the slope. So the equation has the form

$y - 4 = 3(x - 3)$

To find the y-intercept, set x = 0 to get

$y - 4 = 3(0 - 3) \Rightarrow y - 4 = -9$

Solving for y, we get

$y = -5$

Therefore, the coordinates of the y-intercept is (0, -5).