What is the equation of this line in slope
intercept form?
y= -5x + 8
y=8/5x+3
y =5/8x+3
y=5/3x+3

The Answer is: y - 8 = 5/3(x - 3)

Step-by-step explanation:

Given the y intercept form:

y = 5/3x + 3

Note that the slope is 5/3.

Find a point on the line.

Choose x = 3, solve for y:

y = 5/3(3) + 3

y = 5 + 3

y = 8

This give you the point:

(3, 8)

Use this to substitute into the point slope equation:

y - y1 = m(x - x1)

y - 8 = 5/3(x - 3)

the required function is .

step-by-step explanation:

from the given table it is noticed that the graph passing through (-3,7), (0,4), (3,1) and (8,-4).

it is a linear function because the value of y is decrease by one as the value of x increase by 1.

the slope of the function is

the slope of the function is -1 and the y-intercept is 4.

the slope intercept form is

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

therefore the required function is . the graph of this function is shown below.

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!