Graph the equation 3x - 2y = 4 using the x-intercept and y-intercept.
1 answer:
Answer:
See explanation and attachment
Step-by-step explanation:
3x - 2y = 4
2y = 3x - 4
y = 3/2x -2
for x-intercept, y =0
so 0 = 3/2x - 2 => 3/2x = 2 => 3x = 4 => x = 4/3 or 1 1/3
for y-intercept, x=0
so y = 3/2(0) - 2 => y = -2
Another way to solve it is
y = mx + b
m is slope which is rise over run
b is y-intercept
so y = 3/2x - 2
starting with y-intercept at (0,-2), the line rises 3 units and runs 2 units
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2.) a^2 + b^2=c^2
5^2 + 12^2 = c^2
25 + 144 = c^2
169= c^2
3.) a^2 + b^2 = c^2
24^2 + b^2 = 26^2
576 + b^2 = 676
b^2 = 100