Question

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Which equations represent the line shown in the graph?

Choose all answers that are correct.

A. y - 1 = -4/3 (x + 1)
B. 4x + 3y = -1
C. 3x - 4y = 1
D. y = -4/3x - 1/3

Answer 1

it is A. B. and D.

Answer 2

that was helpfull

Answer 3

different forms of lines ,
2 points will define a line, and on the graph they gave 2 that are whole numbers


Us those two points, to get a slope value

Answer 4

only B is represent the line shown in the graph

Answer 5

do u want eaplanation

Answer 6

Equations for a line given a slope m, and a point (x1, y1) on the line.

y - y1 = m*(x - x1)

y = m*x + b

a*x + b*y = c (a,b,c are just constants)

Answer 7

The slope is the rate that the y direction changes with the x direction

\[\frac{ -3 - 1 }{ 2- (-1) } = \frac{ -4 }{ 3 }\]

Answer 8

a line can be defined with 2 points, or with a point and a direction(slope)

using m = -4/3 and any point on line, say (x1,y1)= (-1,1)

Answer 9

y - 1 = (-4/3)*( x + 1) ----(Choice A is good)

Rearrange this equation into the other forms of a line.
y = m*x + b

y = (-4/3)*x - (4/3) + 1
y = (-4/3)x - 1/3 ----(Choice D Good)



ax + by = c

(4/3)x + y = -1/3
4x + 3y = -1 ------(Choice B Good)