3x - 5y = 45
At the y-intercept, x = 0.
-5y = 45
y = -9
At the x-intercept, y = 0.
3x = 45
x = 15
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x - 9y = 18At the x-intercept, y=0 :x = 18At the y-intercept, x=0 :-9y = 18-y = 2y = -2
y - x = 0 which is the same as y = x + 0 which is of the form y = mx + c where m is the slope and c is the intercept. Hence for y = x + 0, the slope is 1 ans the intercept is 0. The equation represents a line making 45 degrees to the a-axis and it passes through the origin.
Set x=0, solve for y, which is the y intercept: 0 - 3y = 9 --> y = -3. Set y=0 and solve for x = 9 for x-intercept.
The point (0, -5) is the y-intercept (x = 0)
y = mx + b y = 0.666666666666666666667(x) + 6 m = slope b = y intercept