Question

Question #f8e70

Answer 1

`y=5x-9`

Explanation:

From the question, we know that the line has

a gradient of `5`
and that it passes through the point `(1,-4)`

we know that all straight lines take on the form `y=mx+c` where `m` is the gradient and `c` is the constant.

From the given information we know that `m=5`

`therefore y=5x+c`

Now we need to find `c` by using `m` and the given co-ordinates that correspond `x` and `y`.

So let's sub the information that we know in.

`-4=5(1)+c`
`-4=5+c`
`c=-9`

Now we have our constant, so lets finish of the equation by implementing it in.

`therefore` our final answer is `y=5x-9`

Answer 2

`y=5x-9`

Explanation:

`"the equation of a line in "color(blue)"slope-intercept form"` is.

`•color(white)(x)y=mx+b`

`"where m is the slope and b the y-intercept"`

`"here "m=5`

`rArry=5x+blarrcolor(blue)"is the partial equation"`

`"to find b substitute "(1,-4)" into the partial equation"`

`-4=5+brArrb=-4-5=-9`

`rArry=5x-9larrcolor(red)"in slope-intercept form"`