Mathematics, 02.07.2019 21:00 agarza0326

State whether the slope of the line is positive, negative, zero, or undefined. imported asset positive negative zero undefined

State whether the slope of the line is positive, negative, zero, or undefined. imported asset posit

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Answer from: kruzyoungblood8

The slope of the line is equal to $\tan \alpha,$ where angle $\alpha$ is angle of line incline to the positive x-direction.

When $\alpha$ is acute, then slope is positive;When $\alpha$ is obtuse, then slope is negative;When $\alpha$ is right, then slope is undefined;When $\alpha$ is zero, then slope is equal to 0.

In your case angle of inclination is obtuse and slope is negative.

correct choice is B

Answer from: cal1805p8uo38

The correct answer option is negative slope.

Step-by-step explanation:

When the line is sloping down from left to right, it means the slope has a negative value. It means that a negative change in y is related with a positive change in x.

A line going up from left to right has a positive slope.

A parallel line to x-axis (horizontal line) has a zero slope.

While a line parallel to y-axis (vertical line) has an undefined slope.

Answer from: Quest

b. astronomers

Which professionals most directly use geometry in their work?

Answer from: Quest

the system of inequity is

$y\leq -x+4$

$3y> x$

step-by-step explanation:

from the given graph it is noticed that we have two related lines. one is solid and another is dashed.

if a line passing through two points, then the equation of line is

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

the solid line passing through the points (0,4) and (4,0).

$y-4=\frac{0-4}{4-0}(x-0)$

$y=-x+4$

the related equation of solid line is $y=-x+4$ .

similarly, find the related equation of dashed line. the dashed liune passing through the points (0,0) and (3,1).

$y-0=\frac{0-1}{3-0}(x-0)$

$3y=x$

the related equation of dashed line is $3y=x$

from the given graph it is noticed that the point (0,1) lies on the shaded region, therefore the point (0,1) must be satisfied by the related equations.

check the related equations by the point (0,1).

$1=-0+4$

$1=4$

this statement is true if the sign of inequality is < instead of equality. since it is an solid line therefore the sign of inequality will be $\leq$ . the required inequality is

$y\leq -x+4$

similarly, check the second related equation.

$3(1)=0$

it is a dashed line, so this statement is true if the sign of inequality is > . the required inequality is

$3y> x$

15 points write a system of inequalities to represent the shaded portion of the graph

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State whether the slope of the line is positive, negative, zero, or undefined. imported asset posit...