Write the equation of the line that is parallel to the given segment and that passes through the point (-3,0). A. y=-3x + 9
B.
-1
y = -X-1
3
C.
1
y=-x+1
D. y = 3x - 1

Option (B)

Step-by-step explanation:

In the figure attached,

A straight line is passing through two points (0, 2) and (3, 1).

Slope of this line () =

                                   =

                                   =

Let the slope of a parallel to the line given in the graph =

By the property of parallel lines,

Equation of a line passing through a point (x', y') and slope 'm' is,

y - y' = m(x - x')

Therefore, equation of the parallel line which passes through (-3, 0) and having slope = will be,

Option (B). will be the answer.

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