Rewrite the equation in slope-intercept form and then use the slope and y-intercept to sketch a graph of the line with the given equation.

Question

5x + 2y = 10

Answer 1

Subtract 5x on both sides of the equation.

 

2y = -5x + 10

 

 

Divide both sides of the equation by 2.

 

y = (-5/2)x + 5     --->   slope-intercept form

 

 

The slope is the coefficient of x.  The slope is -5/2.

The y-intercept is the y value when x=0.  The y-intercept is (0, 5).

 

 

To graph we only need to plot two points on a coordinate system.  The first point is the y-intercept.  The second point will be obtained using the first point as a reference as well as the slope.

 

Since the slope is -5/2, move 2 units to the right and 5 units down from the first point.

 

Second point = (0 + 2 , 5 - 5)

                    = (2, 0)

 

 

So your two points are (0, 5) and (2, 0).

 

Connect these points on the coordinate system in a straight line and you have your graph.