Final answer:
A line graph showing a direct or positive correlation will have an upward slanting line. The slope of the line indicates its steepness and direction, with a positive slope .
Step-by-step explanation:
The line of a line graph with a direct or positive correlation will have a upward slanting to the right. This means that as the value on the x-axis increases, the corresponding y-axis value also increases. This is visually represented by a line graph where the line has an upward slope, moving from the lower left to the upper right on the graph. In simpler terms, if we were to pick two points on the line, as we move from left to right (increasing x values), we would also be moving upwards (increasing y values).
The slope of the line, often represented by the letter 'm' in the equation y = mx + b, indicates the steepness and direction of the line. A positive slope indicates an upward tilt on a graph. If the slope value increases, the line becomes steeper, while a decrease in the slope value makes the line flatter. When data shows a positive correlation, it denotes that there is a proportional increase in y as x increases, meaning that both variables change in the same direction.