Write an equation of a line that goes thru the points (-2, 6) & (3, -4)

The equation of the line is;

y = -2x + 2

Step-by-step explanation:

Here, we want to write the equation of the line that passes through the given points

The general form of the equation is

y = mx + b

where m is the slope of the line and b is the y-intercept of the line

Mathematically, to get the slope, we use the slope formula

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

(x1,y1) = (-2,6)

(x2,y2) = (3,-4)

m = (-4-6)/(3+2) = -10/5 = -2

So the equation is in the form;

y = -2x + b

To get b, we substitute any of the two points

6 = -2(-2) + b

6 = 4 + b

b = 6-4 = 2

The equation of the line is thus;

y = -2x + 2

proofs involving isosceles triangles often require special consideration because an isosceles triangle has several distinct properties that do not apply to normal triangles.(more about triangle types) therefore, when you are trying to prove that two triangles are congruent, and one or both triangles, are isosceles you have a few theorems that you can use to make your life easier.

step-by-step explanation:

an isosceles triangle has two congruent sides and two congruent angles. the congruent angles are called the base angles and the other angle is known as the vertex angle. ∠bac and ∠bca are the base angles of the triangle picture on the left. the vertex angle is ∠abc