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Shamya Needs to Find 2 Points to Help Her Graph a Line.She Knows That the Line Goes Through the Point (2,1) and Has a Slope of -(5)/(3)

Question

Shamya needs to find 2 points to help her graph a line.She knows that the line goes through the point (2,1) and has a slope of -(5)/(3) -5 -5 -4 -8 -1 -2 -3 -6

Solution

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Answer

To find another point on the line, we can use the point-slope form of a linear equation, which is given by: where \( (x_1, y_1) \) is a point on the line and is the slope. In this case, the point \( (2, 1) \) is on the line, and the slope is .Let's find another point by choosing a different -value. We can choose an -value that makes calculations simple. Let's choose .Substitute into the point-slope formula: Calculate the right side: Add 1 to both sides to solve for : So, another point on the line is \( (5, -4) \).Therefore, the two points Shamya can use to graph the line are \( (2, 1) \) and \( (5, -4) \).