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 1 has the greatest slope.
Line 1 has the greatest slope.
Line 2 has the biggest y-intercept
Line 2 has the biggest y-intercept
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 3 has the greatest slope
Line 3 has the greatest slope
Line 2 has an increasing graph
Line 2 has an increasing graph
Line 1: 4x - 2y = 16
Rearranging the equation to slope-intercept form y = mx + b, we get:
-2y = -4x + 16
Dividing by -2, we get:
y = 2x - 8
Line 2: y = -4/5x + 2
This equation is already in slope-intercept form.
Line 3: y - 4 = 3(x + 5)
Expanding the equation, we get:
y - 4 = 3x + 15
Adding 4 to both sides, we get:
y = 3x + 19
Comparing the equations:
Line 1 has a slope of 2.
Line 2 has a slope of -4/5.
Line 3 has a slope of 3.
Line 1 has an intercept of -8.
Line 2 has an intercept of 2.
Line 3 has an intercept of 19.
From the given options:
Line 1 has the greatest slope.
Line 2 has the biggest y-intercept.
Line 3 does have a decreasing graph.
None of the options state that Line 1 has the biggest y-intercept.
Line 3 does not have the greatest slope.
Line 2 does have an increasing graph.
So, the correct statement is: Line 2 has the biggest y-intercept.