Final answer:
A line with a positive slope and a y-intercept of (0,-3) will have a positive slope. The description already specifies the slope as positive and the y-intercept indicates where the line crosses the y-axis, which does not change the slope.
Step-by-step explanation:
A line with a positive slope and a y-intercept of (0,-3) will have which of the following? Since the line is already described as having a positive slope, it eliminates the need for considering a negative slope or a slope of zero. Therefore, the correct answer is option 2, a positive slope. A y-intercept of (0,-3) means the line crosses the y-axis at -3, not +3, thus option 4 is incorrect.
The slope of a line reflects the steepness and the direction of the line. For any given straight line in a coordinate plane, described by the equation y = mx + b, 'm' represents the slope and 'b' represents the y-intercept. A positive value for 'm' indicates that the line slopes upwards as it moves from left to right, which is consistent with a line graph that demonstrates a positive increase on the y-axis for every increase on the x-axis, just as described in Figure A1.