Find the slope-intercept equation of the line that has the given characteristics.
Slope 8.7 and y-intercept (0,-6)
To find the slope-intercept equation of a line, we use the formula:
y = mx + b
where:
- y is the dependent variable (the value on the vertical or y-axis)
- x is the independent variable (the value on the horizontal or x-axis)
- m is the slope of the line
- b is the y-intercept (the point where the line crosses the y-axis when x = 0)
Given that the slope is 8.7 and the y-intercept is (0,-6), we can substitute these values into the formula to get the equation.
Substituting m = 8.7 and (0,-6) for x and y, we have:
-6 = (8.7)(0) + b
Simplifying the equation:
-6 = 0 + b
-6 = b
Therefore, the y-intercept is -6.
Now, we can substitute the slope (m = 8.7) and y-intercept (b = -6) back into the slope-intercept equation (y = mx + b):
y = 8.7x - 6
This is the slope-intercept equation of the line with a slope of 8.7 and a y-intercept of (0,-6).