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)
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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
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
First collect like terms in the second equation: 5x - 18 = 4y - 3y ie y = 5x - 18 Substitute this for the term in y in the first equation, getting 3x + 2(5x - 18) = 16 ie 3x + 10x - 36 = 16 ie 13x = 16 + 36 so x = 4 and y = 5 x 4 - 18 ie 2.