Quick Homework Help

# We are working on linear equations. I don't get it. 5x + 2y = 10   Please help. Will also need to show on graph.  y =-6  ⚑ Flag

by Vickie016 at November 22, 2009

A step by step diagram would be very helpful. Thank you. We are using  X=0.

5x + 2y = 10 represents a line on the x-y coordinate system. I find it useful when I have a linear equation to put it in y = mx + b form, because in that form we know that m is the slope of the line (rise/run) and b is where the line crosses the y -axis.  With this information, it's much easier to graph the line.  We start with your equation, and try to get y on a side by itself:5x + 2y = 10    (subtract 5x from both sides)2y = -5x + 10  (divide both sides by 2)y = (-5/2)*x + 5 So now we know that the line crosses the y axis at 5, and slopes downward with a slope of -5/2.  You can just put your pencil at the 5 on the y-axis, and then count down 5 and to the right two, and draw a dot there.  Then draw a line with your ruler that passes through the 5 on the y-axis and also through the dot you just drew.  y = -6 is just a horizontal line through the -6 on the y-axis. If you think about this as being in the y = mx + b form, b = -6, so that's the y - intercept, and m is 0. No slope!

Alison037 November 22, 2009

2y=-5x+10y=-5/2x + 5The y intercept of the graph is 5, and the slope is -5/2, in other terms, go down 5 units and to the right 2 units.

DoggiLov December 08, 2009

Subtract 5x from both sidesDivide EVERY term by 2y-intercept equals 5slope (m) equals -5/2

Nick340 December 12, 2009