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Draw a line with the equation y = 2/3x -13. Then, draw a line parallel to it that goes through the point (3, 8). Can you please show me how you graph it?

User Galanthus
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The graph with the blue line represents the linear equation y = 2/3x - 13.

The slope is already given as 2/3 (the coefficient of x). The y-intercept is -13, that is, the point at which x = 0, then y = -13. Also, when y = 0, then x is 19.5. When you plot these two points on the coordinate plane, one point would be touching the x-axis, and the other would be touching the y-axis at the points we just identified (0, -13) and (19.5, 0). Connect these two points with a straight edge and you have the graph shown as the blue line.

For the parallel line, first of all remember that parallel lines have the same slope. That means we would have to draw a line and we already have a point through which the line passes through

Draw a line with the equation y = 2/3x -13. Then, draw a line parallel to it that-example-1
User Yunus Haznedar
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