What is an equation of the line that passes through the points (6, 8) and
(-3, 2)?

y = x + 4

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Calculate m using the slope formula

m =

with (x₁, y₁ ) = (6, 8) and (x₂, y₂ ) = (- 3, 2)

m = = = , thus

y = x + c ← is the partial equation

To find c substitute either of the 2 points into the partial equation.

Using (6, 8), then

8 = 4 + c ⇒ c = 8 - 4 = 4

y= x + 4 ← equation of line

c.   x=2.4cm

step-by-step explanation:

similar triangles are triangles which have the same shape but not the same size. this means their angle measures are equal but their side lengths are not instead they are proportional. to solve, we will set up a proportion and solve.

a proportion is two equal ratios set equal to each other. we form the ratios by finding corresponding sides (sides which match to each other on both triangles by their position). out ratios will be one side of the small triangle over the corresponding side on the big triangle as shown below:

.

to solve the proportion, we'll cross multiply by multiplying numerator with denominator across the equal sign.