Question

Write the slope-intercept form of the equation of the line through the given point with the given slope. through: (-5, -1); slope = negative 3 over 5

Answer 1

The slope-intercept form of the equation of the line is
`y = -(3)/(5) \cdot x -4`.

Explanation:

We know that the slope-intercept form of the equation of the line is represented by:

`y = m\cdot x + b`

Where:

`x` - Independent variable, dimensionless.

`y` - Dependent variable, dimensionless.

`m` - Slope, dimensionless.

`b` - y-Intercept, dimensionless.

From statement we find that
`m =-(3)/(5)`. If
`x = -5` and
`y = -1`, the value of the y-intercept is:

`-1 =-(3)/(5)\cdot (-5)+b`

`-1 = 3 + b`

`b = -4`

The slope-intercept form of the equation of the line is
`y = -(3)/(5) \cdot x -4`.