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3 years ago

Find the slope-intercept form of the equation of the line that passes through the points (2,-5)

Mathematics

1 answer:

n200080 [17]3 years ago

4 0

Answer:

-3

Step-by-step explanation:

(

$(2,-5)=(x_1,y_1) \\ (4,-11)= (x_2,y_2) \\$

$m = \frac{y_2 - y_1}{x_2 - x_1} \\$

Plug in values into the given equation

$m = \frac{ - 11 - ( - 5))}{4 - 2} \\ \\ m = \frac{ - 11 + 5}{2} \\$

Simplify

$m = \frac{ - 6}{2} \\ m = - 3$

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Which linear inequality is represented by the graph?

Tamiku [17]

Answer:

Option (4)

Step-by-step explanation:

From the graph attached,

A dotted line passes through two points (3, 1) and (-3, -3)

Let the equation of the given line is,

y = mx + b

where 'm' = slope of the line

b = y-intercept

Slope of a line passing through $(x_1, y_1)$ and $(x_2,y_2)$ is,

m = $\frac{y_2-y_1}{x_2-x_1}$

For the given points,

m = $\frac{1+3}{3+3}$

m = $\frac{2}{3}$

y-intercept 'b' = -1

Therefore, equation of the given line will be,

$y=\frac{2}{3}x-1$

Since graphed line is a dotted line so it's representing an inequality(having < or > sign)

And the shaded part is below the dotted line,

Inequality will be,

y < $\frac{2}{3}x-1$

Therefore, Option (4) will be the answer.

7 0

3 years ago

What percent is 36 of 90?<br><br> can u show it by doing a cross multiply method?

algol13

Answer:

40 percent is right answer of 36 of 90

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2 years ago

Read 2 more answers

(a-2b)3 when a=-2 and b= -1/2

Aleks [24]

Answer: (a-2b)3=3a-6b

=3x-2-6x-1/2

= -6+3

= -3

Step-by-step explanation:

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2 years ago

One bag contains three white marbles and five black marbles, and a second bag contains four white marbles and six black marbles.

Troyanec [42]

It will be 21/40

probability getting both white marbles

3/8×4/10=12/80

probability getting both black marbles

5/8×6/10=30/80

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3 years ago

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Write an equation for a line parallel to y=5x+4 and passing through the point (4,25)

Soloha48 [4]

Answer:

y = 5x + 5

Step-by-step explanation:

m = 5

y = mx + b

25 = 5(4) + b; b = 5

y = 5x + 5

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3 years ago