10 points !

a line passes through the point (8, 2) and has a slope of -3/2 write an equation in slope-intercept form for this line.

see explanation

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 )

here m = - , thus

y = - x + c ← is the partial equation

To find c substitute (8, 2) into the partial equation

2 = - 12 + c ⇒ c = 2 + 12 = 14

y = - x + 14 ← equation in point- slope form

1. x> -5

2. x< 8

step-by-step explanation:

1. 2x> -10

divide by 2 from both sides of equation.

2x/2> -10/2

simplify, to find the answer.

-10/2=-5

x> -5 is the correct answer.

2. 3x< 24

divide by 3 from both sides of equation.

3x/3< 24/3

simplify, to find the answer.

24/3=8

x< 8 is the correct answer.

i hope this you, and have a wonderful day!

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step-by-step explanation: