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Solve this system of equations by graphing. First graph the equations, and then type the solution. y=12x−3y = \frac{1}{2} x - 3 y=−32x+1y = - \frac{3}{2} x + 1

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Full solution

Q. Solve this system of equations by graphing. First graph the equations, and then type the solution. y=12x−3y = \frac{1}{2} x - 3 y=−32x+1y = - \frac{3}{2} x + 1
  1. Graphing First Equation: Graph the first equation y=12x−3y = \frac{1}{2} x - 3.\newline- Slope (m)=12(m) = \frac{1}{2}, yy-intercept (b)=−3(b) = -3.\newline- Plot the yy-intercept (0,−3)(0, -3).\newline- Use the slope to find another point: rise 11, run 22. Point (2,−2)(2, -2).\newline- Draw the line through these points.
  2. Graphing Second Equation: Graph the second equation y=−32x+1y = -\frac{3}{2} x + 1.- Slope (m)=−32(m) = -\frac{3}{2}, yy-intercept (b)=1(b) = 1.- Plot the yy-intercept (0,1)(0, 1).- Use the slope to find another point: fall 33, run 22. Point (2,−2)(2, -2).- Draw the line through these points.
  3. Finding Intersection: Find the intersection of the two lines. - Both lines intersect at point (2,−2)(2, -2).

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