Question

Find the equation of line slope 5 and intercept -5 on the y-axis​

Answer 1

Explanation:

Equation is in form
`y=mx+b` where m is slope and b is y-intercept:

`y=5x-5`

Answer 2

The answer is:

y = 5x - 5

Work/explanation:

When finding a line's equation, we make the decision about which form of the equation we should choose. We choose the right form based on the pieces of information that we're given.

Here are the 3 forms :

• Standard form

Form :
`\boldsymbol{ax+by=c}`

• Slope intercept form

Form :
`\boldsymbol{y=mx+b}`

Given : The slope and the y-intercept

Where : m = slope and b = y intercept

• Point slope form

Form :
`\boldsymbol{y-y_1=m(x-x_1)}`

Given : The slope and a point on the line

Where : m = slope and (x₁, y₁) is a point

_______________________________________

Given the slope and the y intercept, we know that the right form is slope intercept.

Having plugged in the data, we see that the answer is
`\boldsymbol{y=5x+(-5)}`, or

`\boldsymbol{y=5x-5}`.

Hence, the answer is y = 5x - 5.