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2 years ago

Determine the intercepts of the line that correspond to the following table of values.

Mathematics

1 answer:

Dahasolnce [82]2 years ago

7 0

We know that
to find the equation of a line i need two points

let
point A-----> (-21,10)
point B-----> (-28,14)

step 1
find the slope m
m=(y2-y1)/(x2-x1)-----> m=(14-10)/(-28+21)----> m=-4/7

step 2
find the equation of a line with
m=-4/7 and the point A (-21,10)
y-y1=m*(x-x1)------> y-10=(-4/7)*(x+21)---> y=(-4/7)x-12+10
y=(-4/7)x-2

step 3
find x intercept
for y=0
y=(-4/7)x-2------> 0=(-4/7)x-2-----> 4/7x=-2----> x=-14/4----> x=-3.5

the x intercept is (-3.5,0)

step 4
find the y intercept
for x=0
y=(-4/7)x-2--------> y=-2
the y intercept is (0,-2)

the answers are
the x intercept is (-3.5,0)
the y intercept is (0,-2)

see the attached figure

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3 years ago

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motikmotik

Answer:

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Step-by-step explanation:

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3 years ago

Read 2 more answers

A) what is the slope of the parallel to y=2x+3

tekilochka [14]

Answer:

a) 2 b) -1/2

Step-by-step explanation:

a) im pretty sure the question only asks for the slope of the parallel line y=2x+3, that that would be 2 because they have the same slope

b) the question is phrased weird, but im assuming it wants the same thing from a, (the slope) and the slope of a perpendicular like is always the opposite reciprocal of the original number

for example in y=2x+3:

2 is the original slope

meaning that the perpendicular would be -1/2

the images above are just examples and are not related to the answer

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3 years ago