Question

The table represents a linear equation.

A two column table with 5 rows. The first column, x, has the entries, negative 10, negative 5, 10, 15. The second column, y, has the entries, 8, 7. 4, 3.
Which equation shows how (–10, 8) can be used to write the equation of this line in point-slope form?

Answer 1

Answer:

The correct answer is (C)

Step-by-step explanation:

answer on edge test

Answer 2

The equation showing (-10,8) being used in writing the line in the point-slope form will be y-8= -0.2(x+10) where 0.2 is the slope and (-10,8) is the point.

What is the equation of the circle?

The equation of straight line passing through two points (x1,y1), (x2,y2) will be calculated as

(y-y1)/(x-x1)= m, where m is the slope of staright line and

m=  (y2-y1)/(x2-x1)

where (x1,y1), (x2,y2) are the coordinates of the two points passing through the line.

Here are given in the table are the points which are satisfying the linear equation.

Using two points from the table (-10,8) and (-5,7)

where x1= -10      y1=8

x2= -5       y2=7

m= (y2-y1) / (x2-x1)= (7-8) / (-5-(-10))= (-1)/(-5+10) =(-1)/5= -0.2

So now using the point of coordinate (-10,8)

(y-y1)/(x-x1)= m

⇒(y-y1)/(x-x1)= -0.2

⇒ (y-8)/(x-(-10)) =-0.2

⇒(y-8)/(x+10) =0.2

⇒y-8= -0.2(x+10)

⇒y=-0.2x-2+8

⇒y= -0.2x+6

Therefore the equation showing (-10,8) being used in writing the line in the point-slope form will be y-8= -0.2(x+10) where 0.2 is the slope and (-10,8) is the point.

Learn more about point-slope form of straight line

here: https://brainly.com/question/6497976

#SPJ2