The equation is given in slope intercept form for the equation of a line: y = mx + b. When an equation of a line is in this form, b is the y-intercept (where the graph crosses the y-axis, which runs vertically up and down) and m is the slope.
The equation of the line given is y = 3x - 2. Comparing this with y = mx + b you see that b = -2, so the y-intercept is -2. This eliminates choice s because line s crosses the y-axis at y = 5.
The slope of the given line is 3. Slope is defined as the change in y over the change in x.
change in y 3
m = ------------------ = ------------
change in x 1
This means that for every increase in x, y will increase by 3. This corresponds to line r.
