Select the equation of the graphed line above. Question 2 options: A) y = 3x + 5 B) y = 3x – 5 C) y = x + 5 D) y = x – 5
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Explanation:
The y intercept is -5 as this is where the diagonal line crosses the vertical y axis. The answer is between B and D as these choices have a y intercept of -5.
The y intercept is located at (0,-5). To get to the next point over, we move 3 units up and 1 unit to the right to get to (1,-2). This line goes through (0,-5) and (1,-2). You can use the slope formula with those two points, or any two points on this line, to find that the slope is 3.
m = 3 is the slope, b = -5 is the y intercept
y = mx+b turns into y = 3x+(-5) or simply y = 3x-5