FIND THE equation of the linear function represented by the table below in slope intercept form

y= -2x - 1

Step-by-step explanation:

Take two of the points given by the data in the table.

Using the x-values 1 and 2, they have a y-value of -3 and -5, respectively.

Therefore, we can write these out as coordinate points: (1, -3) and (2, -5).

The equation to find the slope of a line is:

Substitute these points into this formula to find the slope of this linear function.

Simplify and solve for the slope m.

The slope of this linear function is -2. Now, we can use this slope and substitute it into the point-slope equation along with another one of the points on the function.

Point-slope equation:

Substitute m = -2 and the point (1, -3) into this equation.

Simplify this equation and put it into slope-intercept form: .

The equation of the linear function represented by the table is y = -2x - 1.

b) k’(6, 4); l’(3, 3)

step-by-step explanation:

a 270° clockwise rotation maps every point (x, y) to (y, -x). (it negates the x-coordinate and then switches it and the y-coordinate.)

this means the endpoints of the side congruent to kl, k' and l', would be mapped as:

k'(-4, 6)→(6, 4)

l'(-3, 3)→(3, 3)