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spayn [35]
2 years ago
5

What is the equation of the line that goes through the points (- 2, 1) and (0, 4) ? (Write your answer in standard form .)

Mathematics
1 answer:
tekilochka [14]2 years ago
5 0

Answer:

3x-2y+8=0

Step-by-step explanation:

The slope of the line that goes through the points (-2, 1) and (0, 4) is

\frac{4-1}{0-(-2)} = \frac{3}{2}

The slope of the line that goes through the points (x, y) and (0, 4) is

\frac{4-y}{0-x} = \frac{4-y}{-x}

So \frac{3}{2}=\frac{4-y}{-x}\\-3x=2(4-y)=8-2y\\3x-2y+8=0

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What is the slope of a line that passes through the points (12,7) and (-14,19)?
grandymaker [24]

Answer:

H) -6/13  

Step-by-step explanation:

To find the slope of the line between a pair of two points, use the slope formula, m = \frac{y_2-y_1}{x_2-x_1}. Substitute the x and y values of (12,7) and (-14,19) into the formula and simplify like so:  

m = \frac{(19)-(7)}{(-14)-(12)} \\m =\frac{19-7}{-14-12} \\m = \frac{12}{-26} \\m = -\frac{6}{13}

So, Option H is correct.

5 0
3 years ago
Write an equation of the line that is perpendicular to y = 1/2
atroni [7]

Answer:

the equation of the line that is perpendicular to y = 1/2x + 3 and passes through the point (10, -5)

= -5 = -2x + 15

Step-by-step explanation:

Write an equation of the line that is perpendicular to y = 1/2x + 3 and passes through the point (10, -5).

Using the slope intercept equation,

y = mx +c

m = slope = 1/2

For two lines to be perpendicular, the product of their slopes is -1

Let the slope of the other line be m2

m1×m2 =-1

1/2×m2 = -1

m2 = -1/(1/2) = -2

Slope of line = -2

For points (10, -5), x = 10, y =-5

-5 = -2× 10 +c

-5 = -20+ c

c = -5+20= 15

the equation of the line that is perpendicular to y = 1/2x + 3 and passes through the point (10, -5)

-5 = -2x + 15

6 0
3 years ago
6th grade math help me please :))
sergij07 [2.7K]

Answer:

The answer is option D.

3u + 1 + 7y

All the terms here are different and cannot be combined

Hope this helps you

4 0
3 years ago
A rectangular park has sidewalks on two adjacent sides. If it takes John 60 steps to
Sergeeva-Olga [200]

Answer:

Length = 80 m and breadth = 60 m If one moves along the two adjacent sides, one covers 80+60 = 140 m. Diagonal of the rectangle = √ ( length^2 + breadth^2) ...

5 0
3 years ago
Find the measure of ∠SMK. <br><br> Please show your work, so I know the process.
Dahasolnce [82]

Answer: SMK is 66


Step-by-step explanation: first 30+36=66 then subtract 66 from 180 to find the measurement of angle M. You get 114. since a straight line is 180 degrees you subtract the total of angle M from 180 and you get 66.


5 0
4 years ago
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