The line y = -3x + 2 has a slope of -3 and passes through (0, 2), signifying a decrease of 3 units in the y-direction for every 1 unit increase in x, as shown in the diagram below.
What is the graph of a line?
The graph of y = -3x + 2 in slope-intercept form has a y-intercept at (0, 2) and a slope of -3, indicating a decrease of 3 units in the y-direction for every 1 unit increase in the x-direction.
The line extends infinitely in both directions. Starting at the y-intercept, move down 3 units and right 1 unit to find another point, then connect these points with a straight line. This linear equation represents a line with a negative slope and a y-intercept at 2, as shown in the diagram below.