194k views
5 votes
Y=-x-4

y=2x-2

y=-x+4
y=2x-4

y=x-4
y=2x-2

y=x+4
y=2x-4​

Y=-x-4 y=2x-2 y=-x+4 y=2x-4 y=x-4 y=2x-2 y=x+4 y=2x-4​-example-1

2 Answers

3 votes

The slope of both the lines are
y=-x+4; y=-2x-4. Therefore, the correct option is B.

Line 1 (Passing through points
$(-4,4)$ and
$(-1,-2)$:

1. Calculate the slope (
$m$ ) using the formula:
$m=(y_2-y_1)/(x_2-x_1)$

2. Substitute the coordinates of the two points into the formula:
$m=(-2-4)/(-1-(-4))$

3. Simplify the calculation:


m=(-6)/(3) \\\ m = -2

4. Use the point-slope form of the equation to get the equation of the line:


$y-y_1=m\left(x-x_1\right)$

5. Choose one of the points for the equation, for example
$(-4,4)$, and substitute the values:


y-4=-2(x+4) \\y-4=-2x-8 \\y=-2x-4

Line 2 (Passing through points
$(-1,3)$ and
$(1,5)$:

1. Calculate the slope
$(\mathrm{m})$ using the same formula as above.

2. Substitute the coordinates of the two points into the formula:
$m=(5-3)/(1-(-1))$

3. Simplify the calculation:


$m=(2)/(2)$

4. Simplify further to find the slope:
$m=1$

5. Use the point-slope form of the equation with one of the points, say
$(-1,3)$, and substitute the values:
$y-3=1(x+1)$

6. Distribute and rearrange to get the standard form or slope-intercept form:
y=x+4

The correct options in the question are:

A.
y=-x-4; y=2x-2

B.
y=-x+4; y=-2x-4

C.
y=x-4; y=2x-2

D.
y=x+4; y=2x-4​

User Benjamin Diele
by
8.8k points
2 votes

Explanation:

I'm not sure if the answers you gave are incorrect, but the correct answer is:

y = x + 4

y = -2x - 4

User Bonidjukic
by
8.3k points

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