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2 years ago

Find an equation of the line parallel to y=2x+3 and that passes through the point (5,3)

Mathematics

2 answers:

timama [110]2 years ago

5 0

Answer:

y = 2x - 7

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 )

y = 2x + 3 ← is in slope- intercept form

with slope m = 2

Parallel lines have equal slopes , then

y = 2x + c ← is the partial equation

To find c substitute (5, 3 ) into the partial equation

3 = 10 + c ⇒ c = 3 - 10 = - 7

y = 2x - 7 ← equation of parallel line

Ronch [10]2 years ago

3 0

Answer:

y = 2x - 7

Step-by-step explanation:

First line: y = 2x + 3 , m = 2

Second line: m = 2 and pass ( 5 , 3 )

y - 3 = 2( x - 5 ) ⇔ y = 2x - 7

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Answer:

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Step-by-step explanation:

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2 years ago

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Answer:

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Step-by-step explanation:

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3 years ago

Slope -3/4, through (-2,4)

exis [7]

Answer:

I assume you want the equation for the line in y=mx+b form, if not, you can just transfer this form to standard or intercept. y=(-3/4)x+2.5

Step-by-step explanation:

Since you have the slope and a point, plug in the points to the equation y=9-3/4)x+b to get 4=(-3/4)(-2)+b and solve.

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3 years ago

Sketch the graph of each rational function showing all the key features. Verify your graph by graphing the function on

leva [86]

Answer:

Rational Function

Step-by-step explanation:

Gives the function:

$f(x) = \frac{x-2}{3x-2x^2}$

It has the following,

Domain

x∈ $\mathbb{R}$ : $x\neq 0, x\neq 3/2$

Range

$f \in \mathbb{R} : f \leq -1, f \geq -\frac{1}{9}$

End behaviour

As x $x \rightarrow \infty, y \rightarrow 0$

Horizontal and Vertical Asymptote

Vertical $x = 0, x=3/2$

Horizontal $y = 0$

x-intercept: (2,0)

y-intercept: none

**The Graph is in the annex

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3 years ago

Why reading a decimal number correctly help to write it as an equivalent fraction?

anygoal [31]

Answer:

Step-by-step explanation:

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2 years ago