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andrey2020 [161]
1 year ago
6

Write the equation of the line with x-intercept -2 and y-intercept -1 in slope-intercept form

Mathematics
1 answer:
eduard1 year ago
5 0

The x-intercept of -2 gives us an idea that point (-2,0) if found along the line. The y-intercept of -1, tells us that point (0,-1), this also tells us that b = -1.

Now that we have two points, we can solve for slope m

\begin{gathered} m=\frac{y_2-y_1}{x_2-x_1} \\ \text{Given two points} \\ (-2,0)\rightarrow(x_1,y_1) \\ (0,-1)\rightarrow(x_2,y_2) \\  \\ \text{Substitute} \\ m=\frac{y_2-y_1}{x_2-x_1} \\ m=\frac{-1-0}{0-(-2)} \\ m=-\frac{1}{2} \end{gathered}

Now that we have both m and b. Substitute these values to the slope intercept form

\begin{gathered} \text{Slope intercept form is} \\ y=mx+b \\ \text{where} \\ m\text{ is the slope} \\ b\text{ is the y-intercept} \\  \\ \text{Substitute the values from before and we get} \\ y=-\frac{1}{2}x-1 \end{gathered}

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Eva8 [605]

Answer:

y ≈ 2.5

Step-by-step explanation:

Using the Sine rule in Δ XYZ

\frac{sinZ}{XY} = \frac{sinY}{XZ} , substitute values

\frac{sin50}{2} = \frac{sin75}{y} ( cross- multiply )

y sin50° = 2 sin75° ( divide both sides by sin50° )

y = \frac{2sin75}{sin50} ≈ 2.5 ( to the nearest tenth )

4 0
3 years ago
Solve the system x+3=22 2x-y=2
steposvetlana [31]

Hello from MrBillDoesMath!

Answer:

x = 19, y = 36

Discussion:

x + 3 = 22     (*)

2x - y = 2      (**)


Subtract 3 from both sides of (*)

x + 3 -3 = 22 = 3 = 19  =>

x = 19


Substitute x= 19 in (**)

2(19) - y = 2 =>

38 - y = 2 =>           (add y to both sides)

38 -y + y = 2 + y =>

38 = 2 + y  =>         (subtract 2 from both sides)

38 -2 = 2 -2 + y =>

36 = y


Regards,  

MrB

P.S.  I'll be on vacation from Friday, Dec 22 to Jan 2, 2019. Have a Great New Year!


3 0
3 years ago
What is 10.417 rounded to the nearest hundredth?
Zarrin [17]
10.417 rounded to the nearest hundredth is 10.42

Hope it helps!

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3 years ago
A cylinder with<br> a radius of 2<br> inches and height<br> of 8 inches
Gelneren [198K]

Answer:

V≈100.53

Step-by-step explanation:

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2 years ago
1/7 times x = 1<br> 5/4 times x=1<br> 3 1/2 times x=1<br> 5/7 times x=1
antiseptic1488 [7]
( i )

=  > \frac{1}{7}  \times x = 1 \\  \\  \\  \\  =  >  \frac{1}{7}  \times 7  \times x = 1 \times 7 \\  \\  \\  \\  =  > x = 7



( ii ) :


=  >  \frac{5}{4}  \times x = 1 \\  \\  \\  \\  =  >  \frac{5}{4}  \times  \frac{4}{5}   \times  x = 1 \times  \frac{4}{5}  \\  \\  \\  \\  = > x =  \frac{4}{5}



( iii ) :


=  >  3\frac{1}{2}    \times x = 1 \\  \\  \\  \\   =  >  \frac{7}{2}  \times x = 1 \\  \\  \\  \\  =  >  \frac{7}{2}  \times  \frac{2}{7}  \times x = 1 \times  \frac{2}{7}  \\  \\  \\  \\  =  > x =  \frac{2}{7}



( iv ) :


\frac{5}{7}  \times x = 1 \\  \\  \\  \\  =  >  \frac{5}{7}  \times  \frac{7}{5}  \times x = 1 \times  \frac{7}{5}  \\  \\  \\  \\  =  > x =  \frac{7}{5}
5 0
3 years ago
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