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Diano4ka-milaya [45]
3 years ago
6

Line "m" has intercepts (7,0) and (0, -2)

Mathematics
1 answer:
givi [52]3 years ago
6 0
The equation of a line is usually written in what's called <em>slope-intercept form</em>.

Slope-intercept form is written as y = mx + b where m = slope and b = the y-intercept.

The slope of a line can easily be found just by using two points on the line. The slope is equal to the rise over the run, or the difference in y over the difference in x, between the two points.

slope = \frac{y_2-y_1}{x_2-x_1} = \frac{-2-0}{0-7} = \frac{-2}{-7} = \boxed{\frac{2}{7}=m}

The y-intercept of the line is the point at which it intersects the y-axis. (The vertical axis.) All points on the y-axis have an x coordinate of 0, so we would then add or subtract the rise and run to a point on the line until we reached x = 0.

Fortunately, we already have this point! It's (0, -2)!

y-intercept=\boxed{-2=b}

Now we just need to put our slope and y-intercept into the equation.

\boxed{\boxed{y=\frac{2}{7}x-2}}

And to test if a point is on this line, just plug in the x and y coordinates and see if the equation is true!

-16 = \frac{2}{7}*49-2 \\ -16 = 14 - 2 \\ -16  \neq 12,\ \therefore line\ m\ does\ not\ contain\ (49, -16)
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Alexxx [7]

Answer:

30 cubes

Step-by-step explanation:

To find the number of small cubes in the larger cuboid, you can multiply the number of cubes that make up the length, width and height together.

There are 5 cubes along the bottom,  2 along the side and 3 going up. The volume would be 5 × 2 × 3 which is 30 cubes.

Hope this helps!

3 0
2 years ago
Joe borrowed $5,000 from the bank at a rate of 7% simple interest per year. How much interest did he pay in 7 years?
yaroslaw [1]

Answer:

$2450

Step-by-step explanation:

7% of 5000 is 350 which means that she would be paying $350 a year and so if you multiply the amount she pays a year ($350) you would get $2450.

I hope this helps.

5 0
3 years ago
Read 2 more answers
Help please!!!!!!!!!!
Lapatulllka [165]

Answer:

25

Step-by-step explanation:

because 25 times 2 is 50 and 25 times 3 is 75

hope I helped!!! ;)

4 0
3 years ago
Uh please help 8x-4y=-4 <br> -3x+4y=5 <br> Subtract second equation from the first
crimeas [40]

Answer:

11x -8y = -9

Step-by-step explanation:

8x-4y=-4

-3x+4y=5

Subtract the second equation from the first

8x-4y=-4

-(-3x+4y=5)

-----------------------------

Distribute the minus sign

  8x-4y=-4

+(3x-4y=-5)

-----------------------------

11x -8y = -9

5 0
3 years ago
Homework due at 12:00<br> I Need Help
Leya [2.2K]

Answer:

<em>k = - 7.5 </em>

Step-by-step explanation:

Slope "m" of a line through points

( x_{1} , y_{1} )

( x_{2} , y_{2} )

is m = \frac{y_{2} -y_{1} }{x_{2} -x_{1} }

Slopes of perpendicular lines are opposite reciprocal: m_{1} m_{2} = - 1

~~~~~~~~~~~~~~~

The slope of a line through points (0, 7) and (2, 10)

m_{1} = \frac{10-7}{2-0} = \frac{3}{2}

Slope of perpendicular line through points (3, 5) and (k, 12) is m_{2} = -\frac{2}{3}

or m_{2} = \frac{12-5}{k-3}

\frac{7}{k-3} = -\frac{2}{3}

2(k - 3) = - 21

k - 3 = - 10.5

<em>k = - 7.5</em>

6 0
3 years ago
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