Solve the equation for y - that is, manipulate it so that "y" is on the left, everything else on the right. This will give you an equation of the form y = ax + b, where a is the slope, and b is the y-intercept.
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5x - 4y = 18
Algebraically rearrange into the straight form ' y = mx + c'.
Where 'm' is ther slope/gradient and 'c' is the y-intercept.
4y = 5x - 18
Divide both sides by '4'
y = (5/4)x - 18/4
y = (5/4)x + 9/2 ( 4 1/2 = 4.5)
So the slope is '5/4' and the y-intercept is 18/4 = 9/2 = 4 1/2 = 4/5 ( depending on how you have drawn the y-axis.
Transform the equation into slope-intercept form: y = mx + b. The intercept is b. 5x - 4y = 18 -4y = 18 - 5x 4y = 5x - 18 y = 5x/4 - 18/4 so the y-intercept is -18/4 or -4.5
To find the x-intercept for 5x - 4y = 18, plug in a 0 for the y value and solve for x. 5x - 4(0) = 18 5x = 18 x = 18/5 or 3.6 The line will hit the x-axis at (3.6,0)
5x=4y=-20 x=-4 y=-5 (-4,-5) is the ordered pair
-5x-4y = 6 -4y = 5x+6 Divide all terms by -4 y = -1.25x-1.5 Slope = -1.25 and intercept = -1.5
y-intercept: -1/4 x-intercept: 1/5 5x-4y=1 -4y=-5x+1 y=5/4x+1/-4 5x-4y=1 5x=4y+1 x=4/5y+1/5