Answer:
¾
Step-by-step explanation:
The line that slants upward from left to right is a positive slope, while the line that slants downwards from left to right is a negative slope.
Therefore, the blue line would have a positive slope. Since the blue line with a positive slope is perpendicular to the red line with a negative slope, therefore, the slope of the line with a positive slope that we are looking for and that is perpendicular to one of the lines (red line) would be the same with the slope of the blue line.
The slope of the blue line is calculated as shown below:
Use the coordinates of these two points on the blue line to find the slope, (0, 1) and (4, 4)
[tex] slope(m) = \frac{y_2 - y_1}{x_2 - x_1} = \frac{4 - 1}{4 - 0} [/tex]
[tex] slope(m) = \frac{3}{4} [/tex]
The slope of the line we are looking for is ¾.
