Based on the graph shown above, the equation in slope-intercept form is y = -1/2(x) - 1.
In Mathematics and Geometry, the point-slope form of a straight line can be calculated by using the following mathematical equation (formula):
Where:
- x and y represent the data points.
- m represent the slope.
First of all, we would determine the slope of the line by using these points (-2, 0) and (0, -1);
Slope (m) = (-1 - 0)/(0 + 2)
Slope (m) = -1/2
At y-intercept (0, -1) and a slope of -1/2, an equation for this line can be calculated by using the point-slope form as follows:
y + 1 = -1/2(x - 0)
y = -1/2(x) - 0 - 1
y = -1/2(x) - 1