Question

Which of the following is an equation of the line that passes through the point (950, 1,250) and has a slope of –10?

Answer 1

Using a linear equation, for the information given, the equation that satisfies is : y = -10 x + 10750

Explanation:

First of all we know that the form of a linear equation is given by:

y = ax + b

Being a, the slope and b a constant.

We know that the slope of the equation is -10, thus a=-10. Hence,

y = -10x + b

We also know, that for x=950, the value of y = 1250. Hence,

1250 = -10 . (950) + b

1250 = -9500 + b

1250 + 9500 = b

b = 10750

With that said, the equation that satisfies the information is:

y = -10x + 10750

Answer 2

For this case we have that by definition, the equation of a line of the slope-intersection form is given by:

`y = mx + b`

Where:

m: It's the slope

b: It is the cut-off point with the y axis

We have as data that:

`m = -10`

Then the equation is of the form:

`y = -10x + b`

We substitute the given point to find b:

`1250 = -10 (950) + b\\1250 = -9500 + b\\b = 1250 + 9500\\b = 10750`

Finally, the equation is:

`y = -10x + 10750`

ANswer:

`y = -10x + 10750`