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Digiron [165]
3 years ago
5

Which is an equation of the line that passes through (–1, –5) and (–3, –7)?

Mathematics
1 answer:
babymother [125]3 years ago
6 0

Answer:

y = x - 4

Step-by-step explanation:

The line passes through (-1,-5) and (-3,-7)

The slope of a line is given by; change in y ÷ change in x

i.e slope = \frac{-7 - -5}{-3 - -1} = \frac{-2}{-2} = 1

Taking another point (x,y) on the line.

Slope will be; \frac{y - -5}{x - -1} = 1

Cross multiplying gives; y + 5 = x + 1

Simplifying this equation gives us the equation of our line which is;

y = x - 4

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The system of inequalities is the following:

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Whenever we are asked to sketch the solution of a system of linear  inequalities, we:

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A.

to draw the line y =- \frac{3}{4}x

consider the points: (-4, 1) and (0, 0), or any 2 other points (x,y) for which y =- \frac{3}{4}x hold.

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for (x, y) = (1, 7), the inequality y ≤ 3x – 2 does not hold

because 7 is not ≤ 3*1-2=1, so the region we color is the one not containing P(1, 7), as shown in picture 2.


The solution of the system is the region colored with both colors, the solid lines included. Check picture 3.

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for x=0.533, y=3x-2=3(0.533)-2=-0.4

Answer: Picture 3, the half-lines included. So the graph is in the 3rd and 4th Quadrants

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