find the x-intercept of the graph of the equation:
1. 4x-5y=8
2. 3y-10x=4
answers that I got:
1. x=2
2. -2/5
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find the y-intercept of the graph of the equation:
3. 7-12x=3y
4. 4y+9=5x
my answer:
3. 2 1/3
4. 2 1/4
can you pleae check if they're correct? thanks!
#1,#2,#3 are correct.
#4 has incorrect sign.
To find the x-intercept of a graph, you need to set y equal to zero and solve for x. Similarly, to find the y-intercept, you set x equal to zero and solve for y.
Let's go through each equation to check the x and y-intercepts you calculated:
1. 4x - 5y = 8:
To find the x-intercept, set y = 0:
4x - 5(0) = 8
4x = 8
Divide both sides by 4:
x = 2
Your answer of x = 2 is correct.
2. 3y - 10x = 4:
To find the x-intercept, set y = 0:
3(0) - 10x = 4
-10x = 4
Divide both sides by -10:
x = -2/5
Your answer of x = -2/5 is correct.
3. 7 - 12x = 3y:
To find the y-intercept, set x = 0:
7 - 12(0) = 3y
7 = 3y
Divide both sides by 3:
y = 7/3
Your answer of y = 7/3 or 2 1/3 is correct.
4. 4y + 9 = 5x:
To find the y-intercept, set x = 0:
4y + 9 = 5(0)
4y + 9 = 0
Subtract 9 from both sides:
4y = -9
Divide both sides by 4:
y = -9/4
Your answer of y = -9/4 or -2 1/4 is correct.
Therefore, your answers for all four questions are correct. Well done!