Question

A line is drawn on the coordinate plane that passes through the point (3,-6) and has a slope of 4. The y-intercept of the line is ____?

Answer 1

Answer:

The y-intercept of the line that passes through the point (3, -6) and which has a slope of 4 is -18.

Step-by-step explanation:

We represent the straight line by using this formula from Analytical Geometry:

$y = m\cdot x + b$

Where:

$x$ - Independent variable, dimensionless.

$y$ - Dependent variable, dimensionless.

$m$ - Slope, dimensionless.

$b$ - y-Intercept, dimensionless.

Now we clear the y-intercept:

$b = y - m\cdot x$

If we know that $x = 3$, $y = -6$ and $m = 4$, the y-intercept of the line is:

$b = -6 -4\cdot (3)$

$b = -18$

The y-intercept of the line that passes through the point (3, -6) and which has a slope of 4 is -18.