Question

(03.07)

Graph with a line going through points zero comma two point five and four comma two point five.

Select the equation of the line that passes through the point (3, -1) and is parallel to the line on the graph.

y = -1

y = 3

y = x -1

y = 3x - 1 @ankitshaw

Answer 1

A line passes through the points (0,2.5) and (4, 2.5)
The slope of a line is m=(y2-y1)/(x2-x1 )
For the given line, x1=0, y1=2.5, x2=4, y2=2.5
Substituting the values in the formula,
m=(2.5-2.5)/(4-0)
m=0/4
m=0
Another line passes through (3,-1).
The line passes through (3,-1) is parallel to the line that passes through
(0,2.5) and (4,2.5).
Therefore the slopes of these two lines are equal.
m=0 and the line passes through (3,-1)
The formula is y-y1=m(x-x1)
X1=3 and y1=-1 m=0
Substituting these values in the formula,
y+1= 0(x-3)
y+1=0
y=-1