Question

The equation of a line is 8x-4y=40



What is the equation in slope-intercept form

Answer 1

What is the slope and what is the y-intercept?

Answer 2

To convert the equation of the line \(8x - 4y = 40\) into slope-intercept form, we need to solve for \(y\) in terms of \(x\). The slope-intercept form is given by:

\[
y = mx + b
\]

where \(m\) is the slope and \(b\) is the y-intercept.

Starting with the original equation:

1. Move \(8x\) to the right side:

\[
-4y = -8x + 40
\]

2. Divide every term by \(-4\) to solve for \(y\):

\[
y = 2x - 10
\]

Thus, the equation in slope-intercept form is:

\[
y = 2x - 10
\]

Here, the slope \(m\) is \(2\), and the y-intercept \(b\) is \(-10\).

Answer 3

From the slope-intercept form of the equation \(y = 2x - 10\):

- The **slope (m)** is \(2\).
- The **y-intercept (b)** is \(-10\).

This means that for every 1 unit increase in \(x\), \(y\) increases by 2 units, and the line crosses the y-axis at the point \((0, -10)\).