Answer:
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).
