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What is the equation of this line?

A - y= 4x -6
B - y= 6x -4
C - y= 6x -1/4
D - y= 1/4x -6

What is the equation of this line? A - y= 4x -6 B - y= 6x -4 C - y= 6x -1/4 D - y-example-1

1 Answer

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Answer:

A - y= 4x -6

Explanation:

Slope-intercept form helps describe the graph of a linear function.

Slope

Slope-intercept form is written as y = mx + b, where m is the slope and b is the y-intercept.

Slope is rise over run. This means that slope equals the change in y divided by the change in x. We can find the slope of a graph by counting the changes in y and x between 2 points. For example, we can use the points (1,-2) and (2,2). The y-value increases by 4 and the x-value increases by 1. This means that the slope is 4/1, which can be simplified to 4. So, m = 4.

Y-intercept

The y-intercept is where the line intersects with the y-axis. Remember that the y-axis is the vertical axis. The y-intercept is also always when x = 0. The graph crosses the y-axis at (0,-6). This means that the y-intercept is -6. So, b = -6.

Writing the Equation

Now, all we need to do is plug the values into y = mx + b. The final equation is y = 4x - 6.

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