Final answer:
The linear equation y=3x-2 has a slope (m) of 3 and a y-intercept (c) of -2. The slope indicates a rise of 3 units for every 1 unit of run, and the y-intercept shows where the line crosses the y-axis.
Step-by-step explanation:
The student is tasked with determining the values of m and c for the linear equation y=3x-2. In the context of linear equations, the standard form is often given as y = mx + c, where m represents the slope of the line, and c represents the y-intercept. The slope (m) is defined as the ratio of the change in the y-value (rise) to the change in the x-value (run). The y-intercept (c) is the value of y when x equals zero, indicating where the line crosses the y-axis.
From the given equation y=3x-2, we can directly see that the slope of the line (m) is 3, as this is the coefficient in front of x. The y-intercept (c) is -2, which is the constant at the end of the equation. This means that the line crosses the y-axis at (0, -2) and for every one-unit increase in x, the value of y increases by three units.