Question

A line includes the points (7, -2) and (0, -1). What is its equation in slope-intercept form?
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Answer 1

The equation is y=(-1/7)x+-1 or y=(-1/7)x-1.

Explanation:

slope-intercept for is y=mx+b where m is the slope and b is the y-intercept.

You are given (7,-2) and (0,-1).

Line them up and subtract vertically then put 2nd difference over 1st difference:

( 7, -2)

-(0 , -1)

-----------

7 -1

So the slope is -1/7.

Now we know our equation is in the form

y=(-1/7)x+b.

Use one of the points you are given along with y=(-1/7)x+b to find b.

I'm choosing (0,-1) to plug in for (x,y):

-1=(-1/7)(0)+b

-1=0+b

-1=b

So the equation is y=(-1/7)x+-1 or y=(-1/7)x-1.

Answer 2

y = -1/7x - 1

Explanation:

In this question, we're trying to find the slope-intercept form with the information that is given.

Slope intercept form is represented as y = mx + b

In this case, we know that the points are at:

• (7,-2)
• (0,-1)

With the information above, we can solve the problem.

In order to find the slope, we would use the slope equation.

Slope equation:

`m=(y2-y1)/(x2-x1)`

To use this slope equation, we would need to plug in the points from the coordinates into the equation. Your equation should look like this:

`m=(-1--2)/(0-7)`

Now, you solve to find the slope of the line.

`m=(-1--2)/(0-7) =(1)/(-7) =-(1)/(7)`

When you're done solving, you should get -1/7.

This means that the slope of the line is -1/7. We would plug 9 in our "m" variable.

Your slope intercept form should look like this:

y = -1/7x + b

For our "b" variable, it's going to be the beginning point. When we look at our (0,-1) coordinate, we would know that -1 would be our beginning point, sicne thje 0 is on the x and there's a variable for the y.

Your slope intercept form should look like this:

y = -1/7x - 1

This means that the slope intercept form of the line is y = -1/7x - 1

I hope this helps you out.

Good luck on your academics.

Have a fantastic day!