Find the slope of the line satisfying the given conditions a) through (-3,4) and (2,-8)

b) through (5,-3) and (1,-7)

a) The slope of the line is

b) The slope of the line is 1

Step-by-step explanation:

The rule of the slope of a line that passes through points (x1, y1) and (x2, y2) is m =

a)

∵ The line passes through points (-3, 4) and (2, -8)

∴ x1 = -3 and y1 = 4

∴ x2 = 2 and y2 = -8

→ Substitute them in the rule of the slope above to find it

∵ m = = =  

∴ m =

∴ The slope of the line is

b)

∵ The line passes through points (5, -3) and (1, -7)

∴ x1 = 5 and y1 = -3

∴ x2 = 1 and y2 = -7

→ Substitute them in the rule of the slope above to find it

∵ m = = =

∴ m = 1

∴ The slope of the line is 1

answer

the correct answer is

explanation

the given function is

the excluded values are obtained by solving:

we factor to obtain:

the excluded values are

  y= -3x is the required function.

step-by-step explanation:

we have been given a table:

x             y

0             0

1             -3

3             -9

-2             6

we can see that the values of y is -3 times the value of x

hence, the function would be: y= -3x.

put the values of x will give the same y as in the table that means function is satisfying the given table.