Answer: 2x + -1
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 m represents the slope of the line and b represents the y-intercept. 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 point A to point B along this line, we rise 2 units and run 1 unit. So our slope or rise over run is 2/1 or just 2.
Next, to find the y-intercept, it's important to understand that the y-intercept is the point where the line crosses the y-axis. Notice that this line crosses the y-axis at the point (0,-1) which means that the y-intercept is -1.
Therefore, m = 1/2 and b = -1 and we substitute these values into our formula for m and b to get y = 2x + -1.
So the equation of the given line in slope-intercept form is y = 2x + -1.
