Which equation represents a line that passes through the two points in thetable?

3 answers
Question:

Which equation represents a line that passes through the two points in the
table?

[tex]Which equation represents a line that passes through the two points in the table?[/tex]


Answers

The equation that represents the line that passes through the given points is y - 1 = [tex]\frac{5}{3}[/tex] (x - 3) ⇒ A

Step-by-step explanation:

The point-slope form of the linear equation is y - y1 = m(x - x1), where

m is the slope of the line(x1, y1) is a point on the line

The rule of the slope is m = [tex]\frac{y2-y1}{x2-x1}[/tex] , where

(x1, y1) and (x2, y2) are two points on the line

∵ The line passes through points (3, 1) and (6, 6)

∴ x1 = 3 and y1 = 1

∴ x2 = 6 and y2 = 6

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

∵ m = [tex]\frac{6-1}{6-3}=\frac{5}{3}[/tex]

∴ m = [tex]\frac{5}{3}[/tex]

→ Substitute the value of x1, y1, and m in the form of the equation above

∵ y - 1 = [tex]\frac{5}{3}[/tex] (x - 3)

∴ The equation that represents the line that passes through the given

   points is y - 1 = [tex]\frac{5}{3}[/tex] (x - 3)

answer: 5100 just subtract

step-by-step explanation:

(0,,,0)

step-by-step explanation:

the table of x and y values is shown in the attached pic(part of question)

we have to decide according that graph

given points are (0, 0) (–1, 0), (2, 0)

when we graph these points on graph they show an increasing line as shown in the attached pic

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