Question

A line has a slope of -4 and passes through the point (0,5). Write the equation of this line in standard form. Be sure to express the equation without fractions or decimals. (2 points, 1 for work, 1 for equation)

Answer 1

The equation of this line in standard form is

`4x + y = 5`

Explanation:

To find the equation of a line we need to know two points by which the line passes. You can also find the equation if you know a point through which the line passes and its slope.

For the equation of the line:

`y = mx + b`

m is the slope and b is the section.

Sane that

`m = -4`

To find b we substitute the point (0,5) in the equation and solve for b
`(5) = -4 (0) + b`

`b = 5`

The equation is

`y = -4x +5.`

We rewrite the equation as:

4x + y = 5

Answer 2

Final answer in standard form of the line is
`4x+y=5`.

Explanation:

Given that slope of the lime m = -4

Now we need to find the equation of a line that has a slope of -4 and passes through the point (0,5). Write the equation of this line in standard form.

So plug the given slope m=-4 and the point (0,5) into point slope formula:

`y-y_1=m\left(x-x_1\right)`

`y-5=-4\left(x-0\right)`

`y-5=-4\left(x\right)`

`y-5=-4x`

`y=-4x+5`

`4x+y=5`

Hence final answer in standard form of the line is
`4x+y=5`.