Respuesta :

You should shift your normal y=x graph down 1 space

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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