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 <em>m</em> or the coefficient of the <em>x</em> term represents the slope of the line and the <em>b</em> 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 <em>rise</em> over <em>run</em>
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, <em>m = -4/3</em> and <em>b = -1</em>.
Now substitute the values into our formula
for <em>m</em> and <em>b </em>to get y = -4/3x - 1.
