The equation of Line 1: 2x−4y=16
The equation of Line 2: y=−3/4x−3
The equation of Line 3: y−5=−2(x+1)
Which statement is true?
Line 2 has the biggest y-intercept.
Line 2 has an increasing graph.
Line 1 has the steepest slope.
Line 1 has the biggest y-intercept.
Line 3 has the least steep slope.
Line 3 has a decreasing graph.
The statement that is true is:
Line 2 has the biggest y-intercept.
are you sure?
I apologize for the incorrect response. Let's re-evaluate the equations:
1. Line 1: 2x - 4y = 16 can be rearranged as y = (1/2)x - 4.
2. Line 2: y = (-3/4)x - 3.
3. Line 3: y - 5 = -2(x + 1) can be rearranged as y = -2x - 3.
Comparing the equations, we can determine the correct statement:
Line 1 has the biggest y-intercept: The y-intercept of Line 1 is -4, Line 2 is -3, and Line 3 is -3. Therefore, this statement is false.
Line 2 has the biggest y-intercept: The y-intercept of Line 1 is -4, Line 2 is -3, and Line 3 is -3. Therefore, this statement is false.
Line 3 has the least steep slope: Comparing the slopes of the equations, Line 1 has a slope of 1/2, Line 2 has a slope of -3/4, and Line 3 has a slope of -2. Therefore, the slope of Line 3 is the steepest. Thus, this statement is false.
Line 2 has an increasing graph: The slope of Line 2 is -3/4 which is negative. Therefore, the graph of Line 2 is decreasing, not increasing. Thus, this statement is false.
Line 3 has a decreasing graph: The slope of Line 3 is -2 which is negative. Therefore, the graph of Line 3 is indeed decreasing. Thus, this statement is true.
Based on the given equations, the true statement is:
Line 3 has a decreasing graph.