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3 years ago

A line passes through the points (–6, 4) and (–2, 2). Which is the equation of the line?

Mathematics

1 answer:

insens350 [35]3 years ago

5 0

Answer:

y=-1/2x+1

Step-by-step explanation:

We can use the points to find the slope of the line.

Equation: y₂-y₁/x₂-x₁

2-4/-2-(-6)

2-4/-2+6

-2/4

-1/2 is the slope of the line

So the equation is y=-1/2x+b

We can substitute one of the x-coordinates and the matching y-coordinate into this equation:

2=-1/2*(-2)+b

2=1+b

1=b

b=1

Therefore, the equation is y=-1/2x+1

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What is the slope of y=-1/2x+3

user100 [1]

Answer:

slope = - $\frac{1}{2}$

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

y = - $\frac{1}{2}$ x + 3 ← is in slope- intercept form

with slope m = - $\frac{1}{2}$

7 0

3 years ago

Read 2 more answers

To prepare for a bake-off, Clarissa used 560 grams of flour each day for 3 weeks. How many kilograms did Clarissa use in those 3

Sindrei [870]

Convert G to kg
560/1000=.56 kg a day

If the bake off was 5 days
.56*5= 2.8kg... per week
2.8kg*3= 8.4 kg for 3 weeks

If it was 7 days
.56*7 = 3.92 kg per week
3.92*3= 11.76 kg for 3 weeks

5 0

3 years ago

WORTH 50! WILL AWARD BRAINLIEST! PLEASE SHOW STEPS! THANK YOU!

yanalaym [24]

Answer:

x = 45

Step-by-step explanation:

Re-order terms so constants are on the left
15 * x/9 - 42 =28

Combine multiplied terms into a single fraction
15x/9 - 42 = 28

Cancel terms that are in both the numerator and denominator
5x/3 - 42 = 28

4 0

2 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:

$AC = 8 + 24$

$AC = 32$

The length of AC is 32 units.

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

$AC = AB + BC$

$BC = AC - AB$