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Graph 6x-5y=30.

Graph 6x−5y=30 6 x-5 y=30 .

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Full solution

Q. Graph 6x−5y=30 6 x-5 y=30 .
  1. Rewrite Equation: Step 11: Rewrite the equation in slope-intercept form y=mx+by = mx + b.\newlineCalculation: 6x−5y=306x - 5y = 30\newline −5y=−6x+30-5y = -6x + 30\newline y=65x−6y = \frac{6}{5}x - 6
  2. Identify Slope and Y-Intercept: Step 22: Identify the slope and y-intercept from the equation y=65x−6y = \frac{6}{5}x - 6. Slope (m)=65(m) = \frac{6}{5}, which determines the steepness and direction of the line. Y-intercept (b)=−6(b) = -6, where the line crosses the y-axis.
  3. Plot Y-Intercept: Step 33: Plot the yy-intercept on the graph.\newlinePlace a point at (0,−6)(0, -6) on the yy-axis.
  4. Use Slope to Plot Point: Step 44: Use the slope to plot another point.\newlineFrom (0,−6)(0, -6), move up 66 units and right 55 units to reach (5,0)(5, 0).\newlinePlot the point (5,0)(5, 0).
  5. Draw Line Through Points: Step 55: Draw the line through the points (0,−6)(0, -6) and (5,0)(5, 0). This line represents all solutions to the equation 6x−5y=306x - 5y = 30.

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