y = -3x + 1    Select values for x and solve for y. Plot the ordered pair and draw a line connectiong the ordered pair. 

x y
0 1
-1 4
1 -2

 

Notice that the line goes downward left to right. That is because the coefficient of x is a negative number -3. The x coefficient is the line's slope but only if the y coefficient is 1. 

In this problem 4y = 7x + 2   Seven is not the slope because the y coefficient is 4   Solve for y;  y = 7/4  x  + 2/4   The slope is  7/4

Go on to slopes

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