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Station 2: Unit 3 and Unit Linear Functions given the table x 9,3,-3,-9 y 2,-2,-6,-10 ,

Find equation slope form answer the following questions.

User Fhd
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1 Answer

4 votes

Answer:

y = (2/3)x - 4

Explanation:

To find the equation of the line in slope-intercept form given a table of values, you will need to calculate the slope of the line and the y-intercept. The slope of a line is a measure of its steepness, and it is calculated as the rise (change in y-values) divided by the run (change in x-values) between two points on the line. The y-intercept is the point at which the line crosses the y-axis.

Given the table x: 9, 3, -3, -9 and y: 2, -2, -6, -10, you can use any two points to calculate the slope. For example, you could use the points (9, 2) and (3, -2) to calculate the slope:

slope = (y2 - y1) / (x2 - x1) = (-2 - 2) / (3 - 9) = -4 / -6 = 2/3

To find the y-intercept, you can use the slope and one of the points from the table to substitute into the slope-intercept form of a linear equation, which is y = mx + b, where m is the slope and b is the y-intercept.

Using the slope and the point (9, 2), you can solve for b:

y = mx + b

2 = (2/3) * 9 + b

2 = 6 + b

b = -4

Therefore, the equation of the line in slope-intercept form is y = (2/3)x - 4.

To answer the other questions, you can use this equation to determine the y-value for a given x-value or the x-value for a given y-value. You can also use the equation to graph the line on the coordinate plane.

User Savithru
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