Hi Anthony,
To find the x intercept you need to find where the graph crosses the xaxis. All the points on the xaxis have their ycoordinate equal to zero. Thus, in the equation, set y = 0 and solve for x.
1.7x + 0.8y = 7.1 set y = 0
1.7x + 0.8 0 = 7.1
1.7x = 7.1
y = ^{7.1}/_{1.7} =  4.17
Thus the x intercept is  4.17
To find the y intercept you need to find where the graph crosses the yaxis. All the points on the yaxis have their xcoordinate equal to zero. Thus, in the equation, set x = 0 and solve for y.
1.7x + 0.8y = 7.1 set x = 0
1.7 0 + 0.8y = 7.1
0.8y = 7.1
y = ^{7.1}/_{0.8} = 8.88
Thus the y intercept is 8.88
Now that you know two points on the graph you can use a ruler and draw the graph
Finally, the slope you can find two ways. The first method is to read the rise and run from the graph.
So the slope is m = ^{8.88}/_{4.17} = 2.1
The second method is to use the equation. To do this you need to put the equation into the form
y = m x + b
and then m is the slope.
The equation you have is
1.7x + 0.8y = 7.1
add 1.7x to both sides to get
0.8 y = 1.7 x + 7.1
Now divide both sides by 0.8 to get
y = 2.1 x + 8.9
Thus the slope is 2.1
I hope this helps,
Penny
