Question

Write the equation of a line that is parallel to {y=-0.75x}y=−0.75xy, equals, minus, 0, point, 75, x and that passes through the point {(8,0)}(8,0)left parenthesis, 8, comma, 0, right parenthesis.

Answer 1

`y = 0.75x - 6`

Explanation:

Given

Parallel to:

`y = 0.75x`

Passes through

`(8,0)`

Required

The equation

The slope intercept form of an equation is:

`y = mx + b`

Where:

`m \to` slope

So, by comparison:

`m = 0.75`

For a line parallel to
`y = 0.75x`, it means they have the same slope of:

`m = 0.75`

The equation of the line is then calculated using:

`y = m(x - x_1) + y_1`

Where:

`m = 0.75`

`(x_1,y_1) = (8,0)`

So, we have:

`y = 0.75(x - 8) + 0`

Open bracket

`y = 0.75x - 6 + 0`

`y = 0.75x - 6`