Explanation: The general formula of the linear equation is: y = mx + c where: m is the slope c is the y-intercept
1- getting the slope: We are given that the line we are looking for is parallel to the line y = -2/3 x + 3 This means that the slope of the two lines are equal. Comparing the general formula with the given line, we would find that the slope of the given line is -2/3. This means that the slope of the line we are looking for is also -2/3 The equation of the line now becomes: y = -2/3 x + c
2- getting the value of c: To get the value of c, we will use a point that belongs to the line (7,3), substitute in the equation and solve for c as follows: y = -2/3 x + c 3 = (-2/3)(7) + c 3 = -14/3 + c c = 3 + 14/3 c = 23/3
Based on the above, the equation of the line we are looking for is: y = -2/3 x + 23/3
