Question

Find the slope and y intercept
5y - 2x = 1

Answer 1

Slope is: 2/5.

The y-intercept of this equation is located at point (0, 1/5).

Explanation:

1. Write the expression.

`5y - 2x = 1`

2. Solve the equation for y.

`5y=1+2x\\ \\(5y)/(5)=(1+2x)/(5) \\ \\y=(1)/(5)+(2x)/(5) \\ \\y=(2)/(5) x+(1)/(5)`

3. Identifying the slope.

The slope of a linear equation will always be the coefficient of the variable "x" when the equation is solved for "y". Therefore, the slope of this linear equation is
`(2)/(5)` .

4. Y intercept.

The Y incercept is the value of "y" where the line of the equation touches the y axis. In other words, the y-intercept is the value when x= 0. Hence, we may substitute x by 0 in the equation and calculate a value for y:

`y=(2)/(5) (0)+(1)/(5)\\ \\y= (1)/(5)`

The y-intercept of this equation is located at point (0, 1/5).