Slope works like a fraction. You will need to solve the equations first in order to graph them.
2x + 3y = 18 - Subtract 2x from 2x and 18. 3y = 2x + 18 - Divide 3y and 18 by 3. y = 2x + 6. To graph this equation, find positive 6 on the y-axis (vertical) and place your first point here. Then, you want to start graphing the rest of the equation. Depending on the restrictions of your graph, if you can not go up 2 and right 1, go down 2 and left one. Only do this if you are out of room and cannot plot any more points positively.
Slope-Intercept Form: y = 2x + 6 Slope: 2/1 Domain and Range: All Real Numbers or this symbol, |R, except the R is connected to that line. Y-intercept: 6
Now, to solve the second equation that is actually an inequality. 3x - 4y > 16 - Subtract 3x from both sides. -4y > -3x + 16 - Now, divide -4y and 16 by -4. y < -3x - 4 (The reason I flipped the inequality symbol is that I divided by a negative. The same rule applies when you multiply by a negative.) Graph this equation the same as you did before, but dash the line and shade the area to the left of it. Here are the graphs for these equations.
Slope-Intercept Form: y < -3x - 4 Slope: -3/1 Domain and Range: If I remember correctly, you can't have a domain or range for inequalities, but please ask your teacher just to be sure as it's been a while since I have gone over these. Y-intercept: -4
