A line that contains the y-intercept (0, -2) and the slope of -3/4
The equation of the line is y = (-3/4)x - 2.
A line that has a slope of 5/3 and a y-intercept of -4
The equation of the line is y = (5/3)x - 4.
To find the equation of a line with the given y-intercept and slope, we can use the slope-intercept form of a line:
y = mx + b
Where:
- "m" represents the slope of the line.
- "b" represents the y-intercept.
In this case, the slope (m) is -3/4, and the y-intercept (0, -2) tells us that when x = 0, y = -2.
Substituting these values into the slope-intercept form, we get:
y = (-3/4)x - 2
Therefore, the equation of the line is y = (-3/4)x - 2.