Answer:
The first option, 3
Step-by-step explanation:
There are a few different ways we can determine the slope of a given line but the easiest one, if possible, is to take an obvious point on the line and count how many units on y-axis and how many units on the x-axis it takes to get to the next point. Place these two numbers in a fraction or proportion with the y-axis in the numerator and the x-axis in the denominator, and then simplify if needed.
For this line, I see two obvious points in (0, -3) and (1, 0). So to get from the first point to the second point, we must go up 3 units (positive 3) and to the right 1 unit (positive 1).
Our fraction from this becomes 3/1, which simplifies to 3.
We can use these same two points and plug them into the slope formula to solve for the slope. The slope formula is
where the ordered pairs (X1, Y1) and (X2, Y2) are used.
Using this formula and those points, let's solve:
The slope = 3