Determine the slope and y-intercept of the line represented by the linear equation:y + 2 = 0. Graph the line using the slope and
1 answer:
- The slope and y-intercept of this line represented by the linear equation are 0 and -2 respectively.
- The linear relationship between the solutions (points) of the line values is that the points on the y-axis are constant while the points on the x-axis increased from left to right.
Mathematically, the standard form of the equation of a straight line is given by;
y = mx + c
Where:
- x and y are the points.
- m is the slope.
- c is the intercept.
In order to graph this line using the slope and y-intercept, we would have to express the given equation in the standard form as follows:
y + 2 = 0
y = -2
Therefore, the graph of the given equation is an horizontal line with y-intercept at -2
By critically observing the graph of the given equation, we can logically deduce that the linear relationship between the solutions (points) of the line values is that the points on the y-axis are constant while the points on the x-axis increased from left to right.
<h3>How to prove that the points are solutions of the linear equation?</h3>Slope, m = Δy/Δx
Slope, m = (-2 + 2)/(6 - 2) = 0.
At point (2, -2), we have:
y = mx + c
y = 0(2) - 2
y = 0 - 2
y = -2 (Proved).
At point (6, -2), we have:
y = mx + c
y = 0(6) - 2
y = 0 - 2
y = -2 (Proved).
Read more on slope and y-intercept here: brainly.com/question/17920127
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