How to solve answer and explanation

j= -4,6

Step-by-step explanation:

j^2 -2j -24 =0

Factor

What 2 numbers multiply to -24 and add to -2

-6*4 = -24

-6+4 = -2

(j-6) (j+4) =0

Using the zero product property

j-6 =0     j+4 =0

j =6            j=-4

C.

y = -3x - 1

y = 3x + 2

Step-by-step explanation:

Find the slope (m) and y-intercept (b) of each table to write an equation for each.

✔️First table:

Find the slope (m) = change in y/change in x

Using any two pair of values, say (0, -1) and (1, -4),

Slope (m) = (-4 - (-1))/(1 - 0) = -3/1

m = -3

Find the y-intercept:

y-intercept is the value of y when x = 0

From the table, y = -1 when x = 0. Therefore,

y-intercept (b) = -1

To write an equation for table 1, substitute m = -3 and b = -1 into y = mx + b

Equation for table 1:

y = -3x - 1

✔️ Second table:

Find the slope (m) = change in y/change in x

Using any two pair of values, say (0, 2) and (1, 5),

Slope (m) = (5 - 2)/(1 - 0) = 3/1

m = 3

Find the y-intercept:

y-intercept is the value of y when x = 0

From the table, y = 2 when x = 0. Therefore,

y-intercept (b) = 2

To write an equation for table 1, substitute m = 3 and b = 2 into y = mx + b

Equation for table 1:

y = 3x + 2