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3 years ago

What is the y intercept of the line y = 2x+1?

Mathematics

2 answers:

Tresset [83]3 years ago

6 0

Answer:

Step-by-step explanation:

the equation for a slope-intercept line is y=mx+b. In this equation, b represents the y intercept. In the equation you posted, 1 is in the place of b, so one is the y intercept.

hope this helps

Solnce55 [7]3 years ago

6 0

Answer:

the y intercept is 1

Step-by-step explanation:

to find the y intercept you must always replace x with 0 and solve

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Use the substitution method to solve the system of equations. Choose the correct ordered pair. x+y=10 y=x-6

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$ 4.75 for 18 oz. and 11.29 for 40 oz.<br> $________ per ounce<br> $________ per ounce

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3 years ago

When water cycles through the earth, it only stays in the atmosphere for about 9 days, but it can stay in the ocean for over 3,0

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4 years ago

Which is the ordered pair for the point on the x-axis

mariarad [96]

The ordered pair for the point on the x-axis that is on the line parallel to the given line and through the given point (-6, 10) is:

$\boxed{(6,0)}$

<h2>Explanation:</h2>

The complete question includes a graph. I have found it on the internet and has been attached below. So:

<em>To find an </em><em>ordered pair</em><em> for the point on the x-axis that is on the line parallel to the given line and through the given point (-6, 10)</em>

With two points we can get the slope of a line, so for the given linewe have the following slope (m):

$P_{1}(-8,6) \\ \\ P_{2}(4,-4) \\ \\ \\ m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}} \\ \\ m=\frac{-4-6}{4-(-8)} \\ \\ m=-\frac{10}{12}=-\frac{5}{6}$

Since the line we are looking for is parallel to the given line, then the slope of our unknown line (let's call it $m_{x}$ ) equals the slope of the given line. In other words:

$m_{x}=m=-\frac{5}{6}$

The point slope form of the equation of a line is:

$y-y_{0}=m(x-x_{0}) \\ \\ Where: \\ \\ P_{0}(x_{0},y_{0}) \ is \ a \ point \ on \ the \ line \\ \\ Here: \\ \\ P_{0}(-6,10) \\ \\ \\ Accordingly: \\ \\ y-10=-\frac{5}{6}(x-(-6)) \\ \\ y-10=-\frac{5}{6}(x+6)$

Finally, to find the ordered pair on the x-axis let's set $y=0$ then:

$y-10=-\frac{5}{6}(x+6) \\ \\ 0-10=-\frac{5}{6}(x+6) \\ \\ Isolating \ x: \\ \\ -\frac{5}{6}x-5=-10 \\ \\ \\ Add \ 5 \ to \ both \ sides: \\ \\ -\frac{5}{6}x-5+5=-10+5 \\ \\ -\frac{5}{6}x=-5 \\ \\ \\ Multiply \ by \ -\frac{6}{5} \ both \ sides: \\ \\ (-\frac{6}{5})(-\frac{5}{6}x)=(-5)(-\frac{6}{5}) \\ \\ \boxed{x=6}$

Finally, the ordered pair is given by:

$\boxed{(x,y) \rightarrow (6,0)}$

<h2>Learn more:</h2>

Equation of a line: brainly.com/question/12169569

#LearnWithBrainly

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3 years ago

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