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3 years ago

CAN SOMEONE PLEASE HELP ME ON THE TOP ONE !!!!!!

Mathematics

2 answers:

nata0808 [166]3 years ago

4 0

Answer:

$the \: slope \: is \to \boxed{-3} \\ the \: y \: intercept \to \boxed{18}$

Step-by-step explanation:

$the \: solpe \: \boxed{m} = \frac{9 -1 2}{3 - 2} = -3 \\ y = mx + c \\ 12 = (-3)(2) + c \\ c = 12 + 6 = 18$

attashe74 [19]3 years ago

3 0

The linear equation is
slope-intercept form y=-3x+18
standard form 3x+y=18

slope is -3

y intercept is (0,18)

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2 years ago

Find the slope of the line that passes through (5,3) and (4,2).

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2 years ago

In the diagram, the straight line ABC is parallel to EFG and DB is parallel to FC. Given that ABD=38 degrees and DFE=62 degrees.

Elanso [62]

Based on the calculations, the measure of angle BDF and CFG are 100° and 38° respectively.

<h3>The condition for two parallel lines.</h3>

In Geometry, two (2) straight lines are considered to be parallel if their slopes are the same (equal) and they have different y-intercepts. This ultimately implies that, two (2) straight lines are parallel under the following conditions:

m₁ = m₂

<u>Note:</u> m is the slope.

<h3>What is the alternate interior angles theorem?</h3>

The alternate interior angles theorem states that when two (2) parallel lines are cut through by a transversal, the alternate interior angles that are formed are congruent.

Based on the alternate interior angles theorem, we can infer and logically deduce the following properties from the diagram (see attachment):

<ABD = <BDH = 38°

<DFE = <HDF = 62°

For angle BDF, we have:

<BDF = <BDH + <HDF

<BDF = 38° + 62°

<BDF = 100°.

Since angles BDF and DFC are linear pair, they are supplementary angles. Thus, we have:

∠BDF + <DFC = 180°

<DFC = 180 - ∠BDF

<DFC = 180 - 100

<DFC = 80°.

For angle CFG, we have:

∠DFE + <DFC + <CFG= 180°

<CFG = 180° - ∠DFE - <DFC

<CFG = 180° - 62° - 80°

<CFG = 38°.

Read more on parallel lines here: brainly.com/question/3851016

#SPJ1

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