A line is a one-dimensional shape that is straight, has no thickness, and extends in both directions indefinitely.
<h3>What is the equation of a line?</h3>
A line is a one-dimensional shape that is straight, has no thickness, and extends in both directions indefinitely. The equation of a line is given by,
y =mx + c
where,
x is the coordinate of the x-axis,
y is the coordinate of the y-axis,
m is the slope of the line, and
c is the y-intercept.
The graphs can be described as shown below.
A.) The first graph has the y-intercept at 2. Therefore, the first graph can be described by the equation, y =5x + 2.
B.) For the second graph, the graph passes through the point (-1,0). Therefore, if we substitute the value of y as 0 in the equation y=3x+3, we will get x=-1.
Hence, the equation of the second graph is y=3x+3.
C.) For the third graph, the graph passes through the point (-1.5,0). Therefore, if we substitute the value of y as 0 in the equation y=2x+3, we will get x=-1.5.
Hence, the equation of the second graph is y=2x+3.
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