Find the equation of the line that passes through points (-3,-1) and (2,1/2)

Step-by-step explanation:

You want to find the equation for a line that passes through the two points:

(-3,-1) and (2,1/2).

First of all, remember what the equation of a line is:

y = mx+b

let's find what m is, the slope of the line....

For lines like these, the slope is always defined as "the change in y over the change in x" or, in equation form:

m=

So what we need now are the two points you gave that the line passes through. Let's call the first point you gave, (-3,-1), point #1, so the x and y numbers given will be called x1 and y1. Or, x1=-3 and y1=-1.

Also, let's call the second point you gave, (2,1/2), point #2, so the x and y numbers here will be called x2 and y2. Or, x2=2 and y2=1/2.

Now, just plug the numbers into the formula for m above, like this:

or

or

Now, what about b, the y-intercept?

To find b, think about what your (x,y) points mean:

(-3,-1). When x of the line is -3, y of the line must be -1.

(2,1/2). When x of the line is 2, y of the line must be 1/2.

Because you said the line passes through each one of these two points, right?

Now, look at our line's equation so far: y=3/10x+b. b is what we want, the 3/10 is already set and x and y are just two "free variables" sitting there. We can plug anything we want in for x and y here, but we want the equation for the line that specfically passes through the two points (-3,-1) and (2,1/2).

So, why not plug in for x and y from one of our (x,y) points that we know the line passes through? This will allow us to solve for b for the particular line that passes through the two points you gave!.

You can use either (x,y) point you want..the answer will be the same:

(-3,-1). y=mx+b or -1=3/10 × -3+b, or solving for b: b=-1-(3/10)(-3). b=-1/10.

(2,1/2). y=mx+b or 1/2=3/10 × 2+b, or solving for b: b=1/2-(3/10)(2). b=-1/10.

The euation of the line that passes through the points (-3,-1) and (2,1/2) is...

spinning a 1, 2, or 3. option d.

step-by-step explanation: when spinning a number graph up to 4, and aiming for any number less than 3, that automatically eliminates the number 4. now you have two numbers to spin on that are less than 3, but the number 3 is included in this question because it's no greater of an number than itself. i hope this you : )

the equation cos(35) =a/25 can be used to find the length of bc what is the length of bc? round to the nearest tenth

step-by-step explanation: