In what quadrant of the coordinate plane is the graph of the direct proportion located which is parallel to the graph, expressed by the formula:Note: Please answer both questions in the same format (The direct proportion is ____. The graph is located on quadrants ___ and ___.).
Accepted Solution
A:
Answer:Part 1) The direct proportion is [tex]y=0.8x[/tex]. The graph is located on quadrants I and IIIPart 2) The direct proportion is [tex]y=-0.4x[/tex]. The graph is located on quadrants II and IVStep-by-step explanation:we know thatA relationship between two variables, x, and y, represent a proportional variation if it can be expressed in the form [tex]y=kx[/tex]In a proportional relationship the constant of proportionality k is equal to the slope m of the line and the line passes through the originPart 1) we have[tex]y=0.8x-1.6[/tex]Remember thatIf two lines are parallel, then their slopes are the sameIn this problem, the slope of the given line is [tex]m=0.8[/tex]thereforeThe direct proportion is [tex]y=0.8x[/tex]The graph is located on quadrants I and IIIsee the attached figure to better understand the problemPart 2) we have[tex]y=-0.4+1[/tex]Remember thatIf two lines are parallel, then their slopes are the sameIn this problem, the slope of the given line is [tex]m=-0.4[/tex]thereforeThe direct proportion is [tex]y=-0.4x[/tex]The graph is located on quadrants II and IVsee the attached figure to better understand the problem