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1) use the equation below to answer part A-Cy=3x-1Part A : What is the slopeA) 3B)3xC)(-1,0)D)(0,-1)Part B : what is the y-intercept? A) (0,-1)B)3xC)(-1,0)D)3Part C: graph y=3x-1

Sagot :

We are given the following equation

[tex]y=3x-1[/tex]

Part A: What is the slope?

The standard equation of a line in slope-intercept form is given by

[tex]y=mx+b[/tex]

Where m is the slope and b is the y-intercept.

Comparing the given equation with the standard form, we see that the slope is 3.

m = 3

Option (A) is correct.

Part B: What is the y-intercept?

Comparing the given equation with the standard form, we see that the y-intercept is -1.

b = -1

The y-intercept is the value when the line cuts the y-axis, so the corresponding x-value is 0.

So the point is

(0, -1)

Option (A) is correct

Part C: graph y = 3x - 1

The above equation can be graphed by taking some coordinates (substitute x-values into the function and get the y-values from the function.

When x = -1

y = 3x - 1 = 3(-1) - 1 = -3 - 1 = -4

(-1, -4)

When x = 1

y = 3x - 1 = 3(1) - 1 = 3 - 1 = 2

(1, 2)

When x = 2

y = 3x - 1 = 3(2) - 1 = 6 - 1 = 5

(2, 5)

Let us sketch these points to form a line.

The above is a rough graph for the given equation y = 3x - 1

View image VadimU213775
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