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Shona has to draw the line with equation y = 3x + 2. Here is her line. Explain why Shona's line cannot be correct.

Shona has to draw the line with equation y 3x 2 Here is her line Explain why Shonas line cannot be correct class=

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jcherry99

Answer:

Step-by-step explanation:

The y intercept cannot possibly where it is shown. The slope is correct. The line is going from the lower left to the upper right, and the 3 makes the line closer to the y axis. For example if x = 1 then y = 3*1+2 = 5.

If x = 2, then y = 3*2 + 2 = 8 so each move of x makes a huge difference in where y is.

So lets go back to the y intercept. When x = 0, then y = 2. y = 2 is about the x axis, not below it.

anuksha0456

Shona's drawn line cannot be the representation of her equation y = 3x + 2, as the y-intercept of her drawn line is negative, while the y-intercept of the equation is positive (b = 2).

What does the equation of a line imply?

The equation of a line of the form y = mx + b shows a line on the coordinate plane, where for every value of x, we get a particular value of y, and m is the slope of the line. The slope is the value of tan θ, where θ is the positive angle formed between the x-axis and the line. b is the y-intercept. The y-intercept is the value of y when x = 0. This signifies that the line passes through the point (0, b).

How do we solve the given question?

We are given an equation of a line y = 3x + 2, and a line of the coordinate plane.

We are asked to give the reason why the line on the plane is not the representation of the given equation.

The equation y = 3x + 2, when compared to the slope-intercept form of a line, y = mx + b, shows that the slope m = 3 and the y-intercept b = 2.

The line on the plane has a positive slope, so m = 3 can be its slope.

But the y-intercept of the drawn line is negative since it is below the origin. So b = 2 cannot be its y-intercept.

(Value of y is positive above the origin and negative below the origin)

(Value of x is positive to the right of the origin and negative to the left of the origin)

∴ Shona's drawn line cannot be the representation of her equation y = 3x + 2, as the y-intercept of her drawn line is negative, while the y-intercept of the equation is positive (b = 2).

Learn more about the equation of a line at

https://brainly.com/question/13763238

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