Find the slope using (-19,12) and (-9,1)

Slope = -13/10

Step-by-step explanation:

In order to find a slope of an equation, you must use the equation for a slope:

Slope = (y2 - y1) / (x2 - x1)

Use the provided coordinates in order to plug in the x and y values:

(-19, 12)

(-9, 1)

y2 = 12

y1 = 1

x2 = -19

x1 = -9

( 12 - 1) / (-19 - -9) = (13) / (-19 + 9) = 13 / -10 = -13/10

75 tickets have been sold so far.

step-by-step explanation:

in this question it is clearly mentioned that 45 children's tickets have been sold and this number is 60% of the total tickets sold.

now let's assume the total number of tickets sold be x.

then 60% of x = 45

⇒

⇒ x(.6) = 45

by dividing with .6 on both the sides of the equation

⇒ x = 75

therefore 75 tickets have been sold so far.

the system of inequity is

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

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

the related equation of solid line is .

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

the related equation of dashed line is

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).

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 . the required inequality is

similarly, check the second related equation.

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