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Softa [21]
1 year ago
8

Determine the intercepts of the line. Do not round your answers. 2x+5y=-6, y x-intercept:

Mathematics
1 answer:
NikAS [45]1 year ago
3 0

The required x and y-intercept of the given line is -3 and -6/5 respectively.  

<h3>What is the slope of the line?</h3>

The slope of the line is the tangent angle made by line with horizontal. i.e. m =tanx where x in degrees.

Here,
The given equation of the line is 2x+5y=-6.
Transform into standard form of line .i.e  is y = mx + c

5y = -2x - 6
y = -2x/5 - 6/5
here , m = -2/5 and c = -6/5
Since c = y-intercept of the line = -6/5
Now, put y = 0 in the equation of the line.
2x = -6
x = -3

Thus, the required x and y-intercept of the given line is -3 and -6/5 respectively.  

Learn more about slopes here:
brainly.com/question/3605446

#SPJ1

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Match each pair of points to the equation of the line that is parallel to the line passing through the points.
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Answer:

B(5,2) \:\: C(7,-5) \:\: \rightarrow y=-3.5x-15

D(11,6)\:\: E(5,9)\:\: \rightarrow y=-0.5x-3

H(4,4)\:\: I(8,9) \:\: \rightarrow y=1.25x+4

L(5,-7)\:\: M(4,-12)\:\: \rightarrow y=5x+9

Step-by-step explanation:

We need to match the slope of the function with the slope of the lines connecting the two points given. The slope of the lines are as follows:

B(5,2) \:\: C(7,-5)=\frac{2--5}{5-7} =-3.5

D(11,6)\:\: E(5,9)=\frac{6-9}{11-5} =-0.5

H(4,4)\:\: I(8,9)=\frac{4-9}{4-8} =1.25

L(5,-7)\:\: M(4,-12)=\frac{-7--12}{5-4} =5

F(-7,12)\:\: G(3,-8)=\frac{12--8}{-7-3}=-2

J(7,2)\:\:K(-9,8) =\frac{2-8}{7--9} =-0.375

Now,

the slope of the line BC matches with the slope of  y=-3.5x-15.

the slope of the line DE matches with the slope of y=-0.5x-3.

the slope of the line HI matches with the slope of y=1.25x+4.

the slope of the line LM matches with the slope of  y=5x+9.

and the slopes of the lines FG and JK do not match with any of the functions given.

Thus,

B(5,2) \:\: C(7,-5) \:\: \rightarrow y=-3.5x-15

D(11,6)\:\: E(5,9)\:\: \rightarrow y=-0.5x-3

H(4,4)\:\: I(8,9) \:\: \rightarrow y=1.25x+4

L(5,-7)\:\: M(4,-12)\:\: \rightarrow y=5x+9

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