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y=-x+19

y=x+19 y=-x+19

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Q. y=x+19 y=-x+19
  1. Understand linear equation form: To graph the equation y=x+19y = -x + 19, we need to understand that it is a linear equation in the slope-intercept form y=mx+by = mx + b, where mm is the slope and bb is the y-intercept.
  2. Identify slope: The slope mm of the line is 1-1, which means that for every unit increase in xx, yy decreases by 11 unit. This gives us the direction in which the line moves.
  3. Determine y-intercept: The y-intercept bb is 1919, which is the point on the y-axis where the line crosses it. This gives us a starting point for drawing the line.
  4. Plot y-intercept: To graph the line, we can start by plotting the y-intercept (0,19)(0, 19) on the graph.
  5. Find another point: Next, we use the slope to find another point. Since the slope is 1-1, we can go down 11 unit on the y-axis and move 11 unit to the right on the x-axis from the y-intercept. This gives us the point (1,18)(1, 18).
  6. Draw the line: We can now draw a straight line through the points (0,19)(0, 19) and (1,18)(1, 18), extending it in both directions. This line represents the graph of the equation y=x+19y = -x + 19.

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