Step-by-step explanation: In this problem, we're asked to write the equation of the given line in slope-intercept form.
Slope-intercept form is the same thing as y = mx + b form where the m or the coefficient of the x term represents the slope of the line and the b or the constant term represents the y-intercept of the line.
So our first step is to find the slope
and the y-intercept of the given line.
To find the slope, we use the ratio rise over run
between any two points on the line.
To get from the first point which is right below the origin to the other point that's on the line, we go down 4 units and run 3 units.
So our rise is -4 and our run is 3 units.
So our slope is -4/3.
Now to find the y-intercept, look for where the line crosses the y-axis which is at (0, -1) which means that the y-intercept is -1.
Therefore, m = -4/3 and b = -1.
Now substitute the values into our formula
for m and b to get y = -4/3x - 1.