Determine the x and y intercepts of the graph of 3x + 4y = 24
2 answers:
Answer:
Step-by-step explanation:
3x + 4y = 24
Find the x intercept by solving intersecting the graph of f(x) or y with
y=0 (which is the x-axis)
4y= -3x+24, subtract 3x from both sides of the equation
y = (-3x/4) +6, divide both sides by 4
if y=0 then
(-3x/4) +6 = 0 , subtract 6 from both sides
-3x/4 = -6, multiply both sides by 4
-3x = -24 , divide both sides by
x= 8, so the x intercept is at (8, 0)
the general formula of a line is y=mx+b , where b is the y-intercept
since our equation is y = (-3x/4) +6 then y intercept is at (0, 6)
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