Respuesta :
The given equation forms a straight line in the graph with slope m = 1 and y-intercept at c = -1.
How to draw a graph for an equation?
- Consider the given equation as y = f(x)
- Where x can take x-coordinates and y values are obtained by simplifying f(x) which are the y-coordinates.
- So, (x,y) coordinates points are available to draw the graph
- Plot the points in the graph
- Connect those points and it shows the form of the equation whether it is a curve or line or parabola.
Constructing the coordinate points from the equation:
Given that,
The equation is y = x - 1
Consider a set of values for x as { -2, -1, 0, 1, 2}
When x = -2,
y = -2 - 1 = -3
So, the coordinate point is (-2, -3)
When x = -1,
y = -1 - 1 = -2
So, the coordinate point is (-1, -2)
When x = 0,
y = 0 - 1 = -1
So, the coordinate point is (0, -1)
When x = 1,
y = 1 - 1 = 0
So, the coordinate point is (1, 0)
When x = 2
y = 2 - 1 = 1
So, the coordinate point is (2, 1)
Thus, the coordinate points are (-2, -3), (-1, -2), (0, -1), (1, 0), and (2, 1)
Plotting the coordinate points:
Plot these coordinate points on the graph and connect them. They form a straight line.
Since the given equation is in the form of slope-intercept y= mx+c
So, it forms a straight line with slope 1 and y-intercept -1.
Thus, the given equation forms a straight line in the graph.
Learn more about drawing a graph here:
https://brainly.com/question/3939432
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