Question

Slope-intercept form of this equation -1/2x + 8y = -40

Answer 1

y = (1/16)x - 5

Step-by-step explanation:

The slope-intercept form of the equation has the form:

y = mx + b

Where m is the slope and b is the intercept.

So, to write the equation in the slope-intercept form, we need to solve the equation for y:

`\begin{gathered} -(1)/(2)x+8y=-40 \\ -(1)/(2)x+8y+(1)/(2)x=-40+(1)/(2)x \\ 8y=-40+(1)/(2)x \\ (8y)/(8)=(-40)/(8)+(1)/(8)((1)/(2)x) \\ y=-5+(1)/(16)x \\ y=(1)/(16)x-5 \end{gathered}`

Therefore, the slope-intercept form of the equation is:

y = (1/16)x - 5