Convert to Slope-Intercept Form to graph 3x+5y=10.

Step-by-step explanation:

3x+5y=10

5y=-3x+10

Y=-3/5+2

y = (-3/5)x + 2

Step-by-step explanation:

We have 3x+5y=10 and want to rewrite it in slope-intercept form y = mx + b.

Start this conversion by solving for 5y:  

Subtract 3x from both sides of 3x+5y=10, obtaining:  5y = -3x + 10

Next, solve this last equation for y by dividing all terms by 5:

y = (-3/5)x + 2, or

Compare this to y = mx + b:  We see that the slope is -3/5 and that the y-intercept is 2.

To graph this line, first plot the y-intercept (0, 2).  Now find another point on this line and graph it.  For example, if we look at the original 3x+5y=10 and arbitrarily set y = 0, we gtet 3x = 10, or the point (10/3, 0).  This happens to be the x-intercept.  Plot (10/3, 0) and draw a line through this point and (0, 2).

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no solution.