Mathematics: ou have discovered another alien. find the correct escue path before answering this question. which statements are true about the equation of the ine used to save this alien? the y-intercept is not visible on the graph the slope does not exist for this line. the y-intercept is positive. the line crosses the x-axis at -3.

There were 6.5 bags of sugar in each bag....

ou have discovered another alien. find the correct

zoriahmendoza

07.01.2022

Correct options are A and D.

Step-by-step explanation:

From the given graph it is clear that the spaceship is located at (-4,3). The alien is at (-2, -3).

If a line passes through two points (x_1,y_1) and (x_2,y_2) , then the equation of line is

$y-y_1=\frac{y_2-y_1}{x_2-x_1}(x-x_1)$

The equation of line is

$y-3=\frac{-3-3}{-2-(-4)}(x-(-4))$

$y-3=\frac{-6}{2}(x+4)$

y-3=-3(x+4)

y-3=-3x-12

Add 3 on both sides.

y=-3x-12+3

y=-3x-9 .... (1)

Slope intercept form of a line is

y=mx+b .... (2)

where, m is slope and b is y-intercept.

On comparing (1) and (2) we get

m=-3,b=-9

It means,

Slope = -3

y-intercept = -9

Points from -6 to 6 are labeled on y-axis. The y-intercept is -9, so it is not visible on the graph. Option A is correct.

Substitute y=0 in equation (1) to find the x-intercept.

0=-3x-9

3x=-9

Divide both sides by 3.

x=-3

x-intercept is -3. It means the line crosses the x-axis at -3. Option D is correct.

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