Find an equation of the line that satisfies the given conditions. through (2,3); slope 5

y = 5x - 7

Step-by-step explanation:

Here, we are given two clues:

Let us put the slope into the slope intercept form.

y = 5x + b

We do not know what b is. So, we can go onto Desmos (a secure, graphing website) to see what the y-intercept is. If we do so, we see that we must move the line 7 units downwards to hit the point (2, 3). This means that the equation is:

y = 5x - 7

Hope this helps!

no not all of them.

step-by-step explanation:

some of them have a square base.

∠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.