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zvonat [6]
3 years ago
11

(EASY) WILL MARK BRAINEST! Question: Write an equation in slope intercept form of the line that passes through the given point a

nd is parallel to the graph
(-9,-2) y=-4x+1
Mathematics
1 answer:
Zielflug [23.3K]3 years ago
4 0

Answer:

y = -4x - 38

Step-by-step explanation:

Parallel lines are parallel because they never intersect. As such, they have the same slope. The slope of the line y = -4x + 1 is -4. Substitute m = -4 and the point (-9,-2) into the point slope form of a line.

y -y_1 = m(x-x_1)\\y --2 = -4(x --9)\\y + 2 = -4(x+9)\\

Apply the distributive property to find the slope intercept form.

y + 2 = -4(x+9)

y + 2 = -4x - 36

y = -4x - 38

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2 years ago
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8x-5y=15 <br>6x+4y=43<br>solve the system by any method​
Sedbober [7]

Answer:

x=\frac{275}{62} , y=\frac{127}{31}

Step-by-step explanation:

<h3>I will use the elimination method.</h3>

We want to make the X's the same:

24x-15y=45

24x+16y=172

Because the signs of the X's are the same we subtract the 2 equations to make:

(I put the second one on top of the 1st)

31y=127

So:

y=\frac{127}{31}

Substitute y into either equation 1 or 2:

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x=\frac{275}{62}

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2 years ago
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7 0
3 years ago
If AB = 8 and BC = 24, then AC =<br><br> If AB = 17 and AC = 68, then BC =
Kryger [21]

Answer:

(i) The length of AC is 32 units, (ii) The length of BC is 51 units.

Step-by-step explanation:

(i) Let suppose that AB and BC are collinear to each other, that is, that both segments are contained in the same line. Algebraically, it can be translated into this identity:

AC = AB + BC

If we know that AB = 8 and BC = 24, then:

AC = 8 + 24

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The length of AC is 32 units.

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AC = AB + BC

BC = AC - AB

If we know that AC = 68 and AB = 17, then:

BC = 68-17

BC = 51

The length of BC is 51 units.

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3 years ago
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