Question

Write the equation in slope-intercept form and determine its slope:15y = 10x + b

Answer 1

`\begin{gathered} y=(2)/(3)x+(b)/(15) \\ \\ slope=(2)/(3) \end{gathered}`

Step-by-step explanation

We want to put the equation in slope-intercept form:

`15y=10x+b`

The general form of the slope-intercept form of a linear equation is:

`y=mx+b`

To do that, divide both sides of the given equation by 15:

`\begin{gathered} (15y)/(15)=(10x)/(15)+(b)/(15) \\ \\ y=(2)/(3)x+(b)/(15) \end{gathered}`

From the slope-intercept form of the linear equation, m represents the slope while b represents the y-intercept of the equation.

Comparing the given equation to the general equation, we see that the slope of the equation is:

`slope=(2)/(3)`

That is the answer.