Answer:
The slope-intercept form of the equation of the line is:
y = 2/3x + 2
Step-by-step explanation:
The slope-intercept form of the line equation
y = mx+b
where
Given the points
(x₁, y₁) = (0, 2)
(x₂, y₂) = (3, 4)
Using the formula
Slope = m = [y₂ - y₁] / [x₂ - x₁]
= [4 - 2] / [3 - 0]
= 2 / 3
Thus, the slope of the line = m = 2/3
We know that the value of the y-intercept can be determined by setting x = 0 and determining the corresponding value of y.
From the graph, it is clear
at x = 0, y = 2
Thus, the y-intercept b = 2
now substituting m = 2/3 and b = 2 in the slope-intercept form
y = mx+b
y = 2/3x + 2
Therefore, the slope-intercept form of the equation of the line is:
y = 2/3x + 2
Triangles FGH and ABC are congruent because of the: AAS congruence theorem.
<h3>What is the AAS Congruence Theorem?</h3>
The AAS congruence theorem states that when two angles and one non-included side in one triangle are congruent to corresponding two angles and one non-included side in another triangle, then both triangles are congruent.
In the proof given, it is established that both triangles have two corresponding congruent angles, and also, BC ≅ GH which are non-included sides.
Therefore, both triangles are congruent because of the AAS congruence theorem.
Learn more about the AAS congruence theorem on:
brainly.com/question/3168048
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The y-intercept is where on the graph the line is intersecting the y=axis. Slope is in the form y=mx+b (b=y-intercept, mx=how far up and over.)
How many tiles does she need ?
1 square meter = 10,000 cm²
12 square meters = 120,000 cm²
Each tile = (20 cm x 20 cm) = 400 cm²
Tiles needed = 120,000 / 400 = <u>300 tiles</u>
How many tiles can she buy ?
1,000 / 34.99 = 28 boxes, with 20.28 left over . . . not enough for another box.
28 boxes of 10 tiles per box = <u>280 tiles</u>
Halima doesn't have enough money to buy enough tiles
to cover the wall. She can only buy 280 tiles, but it would
take 300 to cover the wall.
She can cover 280/300 = 93 and 1/3 percent of the wall,
leaving 6 and 2/3 percent with the old ugly plaster showing.
Maybe she could leave the bare part down at the bottom, and
then hide it with a table up against the wall.
You should 3 2/3 divided by 2/3 I'm prettty sure