1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
dimaraw [331]
2 years ago
15

Can someone show me how to write the standard form of the line that contains a slope of 2/3 and passes through the point (1, 1)?

Mathematics
1 answer:
8090 [49]2 years ago
3 0

Answer:

\large\boxed{y=\dfrac{2}{3}x+\dfrac{1}{3}\qquad\text{slope-intercept form}}\\\\\boxed{y-1=\dfrac{2}{3}x-\dfrac{2}{3}\qquad\text{point-slope form}}\\\\\boxed{2x-3y=-1\qquad\text{standard form}}

Step-by-step explanation:

\text{The standard form:}\ Ax+By=C

\text{The point-slope form:}\\\\y-y_1=m(x-x_1)\\\\m-slope\\\\\text{We have the slope}\ m=\dfrac{2}{3}\ \text{and the point}\ (1,\ 1).\ \text{Substitute:}\\\\\underline{y-1=\dfrac{2}{3}(x-1)}\qquad\text{use the distributive property}\\\\y-1=\dfrac{2}{3}x-\dfrac{2}{3}\qquad\text{add 1 to both sides}\\\\\underline{y=\dfrac{2}{3}x+\dfrac{1}{3}}

y=\dfrac{2}{3}x+\dfrac{1}{3}\qquad\text{multiply both sides by 3}\\\\3y=2x+1\qquad\text{subtract 2x from both sides}\\\\-2x+3y=1\qquad\text{change the signs}\\\\\underline{2x-3y=-1}

You might be interested in
Help!? Helping my son with geometry ... I have no clue what I’m doing here
Tatiana [17]

<u>We are Given:</u>

∠1 = 65°

<h3><u>Finding the measure of all other angles with proof:</u></h3>

<u>∠2:</u>

∠1 + ∠2 = 180°           <em>(angle 1 and 2 form a Linear Pair)</em>

65 + ∠2 = 180            <em>(Angle 1 = 65°)</em>

∠2 = 180 - 65

∠2 = 115°

<u>∠3:</u>

∠1  = ∠3            <em>(Angle 1 and 3 are vertically opposite)</em>

65 = ∠3             <em>(Angle 1 = 65°)</em>

<em>∠3 = 65°</em>

<em />

<u><em>∠4:</em></u>

∠4 = ∠2                  <em>(Vertically opposite angles)</em>

∠4 = 115°                <em>(∠2 = 115°)</em>

<u><em /></u>

<u>∠5:</u>

∠5 = ∠1          <em>(Corresponding angles)</em>

∠5 = 65°        <em>(∠1 = 65°)</em>

<u><em /></u>

<u>∠6:</u>

∠6 = ∠2      <em>(Corresponding angles)</em>

∠6 = 115°    <em>(∠2 = 115°)</em>

<em />

<u>∠7:</u>

∠7 = ∠3        <em>(Corresponding Angles)</em>

∠7 = 65°       <em>(∠3 = 65°)</em>

<em />

<u>∠8:</u>

∠8 = ∠4        <em>(Corresponding angles)</em>

∠8 = 115°      <em>(∠4 = 115°)</em>

4 0
2 years ago
What is the answer to y=-0.5(0)+2
Korolek [52]
The answer is: Y= 2.
3 0
2 years ago
Read 2 more answers
.........................................................................
Sonbull [250]

Answer:

When a habitat is destroyed, the carrying capacity for indigenous plants, animals, and other organisms is reduced so that populations decline, sometimes up to the level of extinction. Habitat loss is perhaps the greatest threat to organisms and biodiversity.

Step-by-step explanation:

5 0
2 years ago
Two blocks of wood are shaped as right rectangular prisms. The smaller block has a length of 9 cm, a width of 3 cm, and a height
solmaris [256]
1512 I believe! :) I would double all the dimensions first, then multiply them all together. 
3 0
2 years ago
Read 2 more answers
Factor −5x2 + 10x.<br><br> −5x(x + 2)<br> 5(−x2 + 10x)<br> 5x(−x + 2)<br> x(5x + 10)
Hitman42 [59]

{ \red{ \bold{option \: (c)}}}

Step-by-step explanation:

{ \purple{ \tt{ { - 5x}^{2}  + 10x}}}

Take { \purple{ \tt{5x}}}as common. Then,

{ \purple{ \tt{5x( - x + 2)}}}

4 0
1 year ago
Other questions:
  • Which expression is equivalent to 25x-10y
    7·1 answer
  • Line l has the equatin y= 1/3x. Find the equation of the image l after a dilation with a scale factor of 1/2, centered at the or
    8·2 answers
  • Given b(x) = |x+4| what us b(-10)?
    11·1 answer
  • NEED HELP ASAP 30 POINTS !!!A digital camera memory card is one fourth full. The card is two thirds full when 375 more pictures
    7·1 answer
  • Write the equation of a line whose slope is -2 and passes through (-1,6). Write the answer in slope-intercept form.
    12·2 answers
  • Simplify each expression, then explain what property was used:
    14·1 answer
  • Paramecia are unicellular protists that have contractile vacuoles to remove excess intracellular water. In an experimental inves
    12·1 answer
  • Select the correct answer.<br><br> Which expression is equivalent to
    12·1 answer
  • 17/2 is bigger than what?​
    10·1 answer
  • A Norman window is a window with a semi-circle on top of regular rectangular window. What should be the dimensions of the rectan
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!