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)
is the statement true or false?
Line 3 has a decreasing graph
The statement is false.
To determine if a line has a decreasing graph, we look at the slope of the line. If the slope is negative, the line is decreasing. If the slope is positive, the line is increasing. If the slope is zero, the line is horizontal.
In Line 3, we can rewrite it in slope-intercept form:
y - 4 = 3x + 15
y = 3x + 19
The slope of Line 3 is 3, which is positive. Therefore, Line 3 has an increasing graph, not a decreasing one.