Question

Which of the linear equations represents the graphed line? A: y=3/2x+1B: y=2/3x+1C: y=-2/3x+1D: y=-3/2x+1

Answer 1

To be able to determine which linear equation represents the graphed line, let's determine at least one point that passes through the graph and use it to verify which equation will satisfy the relationship of the coordinates.

From the graph, let's use Point A (-3,-1).

At x = -3,

A.) y=3/2x+1

`\text{ y = }(3)/(2)x\text{ + 1 }\rightarrow\text{ y = }(3)/(2)(-3)\text{ + 1 }\rightarrow\text{ y = }(-9)/(2)\text{ + 1 }\rightarrow\text{ y = -}(7)/(2)`

Therefore, this is not the equation of the graph.

B.) y=2/3x+1

`\text{ y = }(2)/(3)x\text{ + 1 }\rightarrow\text{ y = }(2)/(3)(-3)\text{ + 1 }\rightarrow\text{ y = }(-6)/(3)\text{ + 1 }\rightarrow\text{ y = -1}`

Therefore, this equation represents the graph.

The answer is letter B.