What is the slope-intercept form of the linear equation 2x - 8y = 32?

Solution:

The slope and intercept form of a linear equation or a straight line is given by the expression:

y = mx + c

Where the slope is m and c is the intercept.

If (x₁, y₁) and (x₂, y₂) are two points on the straight line then the slope m can be calculated as:

m = (y₂ - y₁)/(x₂ - x₁)

The equation of the line is formed by either of the two expressions below:

(y - y₁) = m (x - x₁)

Or

(y - y₂) = m (x - x₂)

The given equation i.e. 2x - 8y = 32 can be written in the desired format as:

8y = 2x - 32

y = (2/8)x - 32/8

y = (1/4)x - 4

Where, m = slope = 1/4, intercept = -4

What is the slope-intercept form of the linear equation 2x - 8y = 32?

Summary:

The slope-intercept form of the linear equation 2x - 8y = 32 is y = (1/4)x - 4