The equation of Line 1: 4x - 2y = 16 The equation of Line 2: y = -4/5x + 2 The equation of Line 3: y - 4 = 3 (x + 5) Which statement is true? (1 point) Responses Line 3 has a decreasing graph Line 3 has a decreasing graph Line 1 has the biggest y-intercept Line 1 has the biggest y-intercept Line 2 has an increasing graph Line 2 has an increasing graph Line 3 has the greatest slope Line 3 has the greatest slope Line 1 has the greatest slope. Line 1 has the greatest slope. Line 2 has the biggest y-intercept
The statement "Line 2 has an increasing graph" is true.
To determine the slope of each line:
- Line 1: 4x - 2y = 16
- Rearranging the equation to y = mx + b form, we get: y = 2x - 8
- The slope is 2.
- Line 2: y = -4/5x + 2
- The slope is -4/5.
- Line 3: y - 4 = 3(x + 5)
- Expanding the equation, we get: y = 3x + 19
- The slope is 3.
From this information, we can conclude that Line 3 has the greatest slope, not Line 1. Additionally, Line 1 does not have the biggest y-intercept; Line 3 does. Therefore, the statement "Line 2 has an increasing graph" is the only true statement from the options provided.