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Draw a graph of the line that contains the g has the given slope.

(0,3):m=-2

Draw a graph of the line that contains the g has the given slope.\newline(0,3):m=2 (0,3): m=-2

Full solution

Q. Draw a graph of the line that contains the g has the given slope.\newline(0,3):m=2 (0,3): m=-2
  1. Identify slope and y-intercept: Identify the slope and y-intercept from the given information. The slope mm is 2-2, and the y-intercept bb is 33, as the line passes through (0,3)(0,3).
  2. Use slope-intercept form: Use the slope-intercept form of a line equation, y=mx+by = mx + b. Substitute m=2m = -2 and b=3b = 3 into the equation. y=2x+3y = -2x + 3.
  3. Find points using slope: To draw the graph, start at the y-intercept (0,3)(0,3). From this point, use the slope to find another point. Move down 22 units and right 11 unit to reach the point (1,1)(1,1).
  4. Plot points and draw line: Plot the points (0,3)(0,3) and (1,1)(1,1) on a graph. Draw a straight line through these points to represent the line y=2x+3y = -2x + 3.

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