Explain how to make an equation for a slope with only 2 plotted points. for example: (-2,1) and (-3,-3) i know the slope is 4, but what would you do to write it as an equation?

Step-by-step explanation:

I know you already know the slope, but I'll explain every step including finding the slope.

You are given two points, and you are asked to find the equation of the line that passes through the two points.

The equation of the line is

where (x1, y1) is a point on the line, and m is the slope.

The equation above is called the point-slope equation.

In your case, the points are (-2, 1) and (-3, -3). Let's find the slope.

We now have the slope, m = 4. Of course, you already knew this.

Now we use one of the points and the point-slope equation.

Let's use the point (-2, 1) and m = 4.

  in slope-intercept form

  in standard form

∠1≅∠2 by the alternate exterior angles theorem.

step-by-step explanation:

given, a ∥ b and ∠1 ≅ ∠3 .we have to prove that e ∥ f

we know that ∠1≅∠3 and that a || b because they are given. we see that by the alternate exterior angles theorem. therefore, ∠2≅∠3 by the transitive property. so, we can conclude that e || f by the converse alternate exterior angles theorem.

we have to fill the missing statement.

transitivity property states that if a = b and b = c, then a = c.

now, given ∠1≅∠3 and by transitivity property ∠2≅∠3 .

hence, to apply transitivity property one angle must be common which is not in result after applying this property which is ∠1.

the only options in which ∠1 is present are ∠1 and ∠2, ∠1 and ∠4

∠1 and ∠4 is not possible ∵ after applying transitivity we didn't get ∠4.

hence, the missing statement is ∠1≅∠2.

so, ∠1≅∠2 by the alternate exterior angles theorem.

a variable is any characteristics, number, or quantity that can be measured or counted. a variable may also be called a data item. hope i !