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3 years ago

Express it in slope-intercept form.

Mathematics

1 answer:

FinnZ [79.3K]3 years ago

8 0

Answer:y=3/2x-3

Step-by-step explanation: the slope of the graph is (y2-y1)/(x2-x1)

If we take points (0,-3) (2,0) the slope would be (0--3)/(2-0) = 3/2

And the y-intercept of the slope is -3

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Subtracting mixed number 4_1 - 2_7 4 8 4

aleksandr82 [10.1K]

Answer:

$4\frac{1}{4} - 2\frac{7}{8} = 1\frac{3}{8}$

Step-by-step explanation:

Given

$4\frac{1}{4} - 2\frac{7}{8}$ --- proper representation of the question

Required

Evaluate

Convert numbers to improper fractions

$4\frac{1}{4} - 2\frac{7}{8} = \frac{17}{4} - \frac{23}{8}$

Take LCM

$4\frac{1}{4} - 2\frac{7}{8} = \frac{34 - 23}{8}$

$4\frac{1}{4} - 2\frac{7}{8} = \frac{11}{8}$

Convert to improper fraction

$4\frac{1}{4} - 2\frac{7}{8} = 1\frac{3}{8}$

8 0

3 years ago

Which is the equation in the slope-intercept form of the line that contains points E & F ?

sesenic [268]

Answer:

y = 4x - 12

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 = $\frac{y_{2}-y_{1} }{x_{2}-x_{1} }$

with (x₁, y₁ ) = E(4, 4) and (x₂, y₂ ) = F(2, - 4)

m = $\frac{-4-4}{2-4}$ = $\frac{-8}{-2}$ = 4 , then

y = 4x + c ← is the partial equation

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

Using (4, 4), then

4 = 16 + c ⇒ c = 4 - 16 = - 12

y = 4x - 12 ← equation of line

3 0

3 years ago

Read 2 more answers

An exam worth 145 points contains 50 questions. The number of two-point questions is equal to 50 minus the number of five-point

abruzzese [7]

Answer:

Therefore there are 35 number of 2-point questions and 15 number of 5-point questions.

Step-by-step explanation:

i) let the number of 2 point question is x.

ii) let the number of 5 point questions be y

iii) total number of questions is 50

iv) therefore x + y = 50

v) it is also given that 2x + 5y = 145

vi) solving for the two equations found in iv) and v). Multiplying iv) by 2 we get

2x + 2y = 100

vii) subtracting equation vi) from equation v) we get 3y = 45.

viii) Therefore y = 15.

ix) using the value in viii) and substituting in iv) we get x + 15 = 50.

Therefore x = 50 - 15 = 35

x) Therefore there are 35 number of 2-point questions and 15 number of 5-point questions.

3 0

3 years ago

Read 2 more answers

Photo above need help

Ira Lisetskai [31]

Answer:

m = 0

Step-by-step explanation:

<u>If two lines are parallel, their slopes are equal. </u>

The slope of x - axis is 0

(why?)

because, slope of a line is given by

$\boxed{\mathsf{slope\:of\:a\:line=tan \theta}}$

Θ is the angle made by the line with the x- axis.

Here, the line in question is the x- axis itself, and every line makes an angle of 0° with itself.

=> Θ = 0

=> tan Θ = 0

=> slope = 0

and the line in blue is parallel to the X- axis, therefore, it's slope is also 0

(also, a line makes an angle of 0° with the line it's parallel to)

$\mathfrak{\overline{There\:You\:Are!}}$

6 0

2 years ago

Read 2 more answers

A bag contains 4 red marbles, 3 white marbles, and 7 blue marbles. You pick a marble without looking. Find the probability of dr

astra-53 [7]

The probability of drawing a white marble = $\frac{Number of white marbles}{Total number of Marbles}$

∴ the probability of drawing a white marble = ³/₁₄

6 0

3 years ago