Can you check these thanks.
Linear Equations
Directions: Write each equation in standard form.
1. y=7x-5
Answer: 7x-y=5
2. y=3/8+5 (3/8 is a fraction)
Answer: 3x-8y=40
3. x= -2/7y+3/4
Answer: x+14y=12
4. 3y-5=0
Answer: x+3y=0
Find the x-intercept and y-intercept of the graph of each equation
5. 2x-y=5
X= 2.5 (2.5,0)
Y= -5 (0,-5)
6. 3x=4y-5
X= 1 2/3 (1 2/3,0)
Y= 1.25 (0/1.25)
7. 3x-6=y
X= 2 (2,0)
Y= -6 (0,-6)
8. 5x+2y=6
X= 1 1/5 (1 1/5,0)
Y= 3 (0,3)
9. y=3x-1
X= 1/3 (1/3,0)
Y = -1 (0,-1)
10. f(x) = -2x+3
F= (0,-3)
X= 1 (1/2,0)
11. 2x+7y=14
X= 7 (7,0)
Y = 2 (0,2)
12. 2/5x+y/4=1
X= 2/5 (2/5,0)
Y = 4 (0,4)
2 has a wrong sign.3,4 are wrong.
12 x intercept is wrong.
2x/1-3x+5/8=0
To check these answers and find the x-intercept and y-intercept of each equation, we can use the standard form of a linear equation, which is Ax + By = C.
1. Given equation: y = 7x - 5
To write it in standard form, move all terms to one side:
-7x + y = -5
Multiply through by -1 to make the coefficient of x positive:
7x - y = 5
So, the correct answer is 7x - y = 5.
2. Given equation: y = 3/8 + 5
To write it in standard form, multiply through by 8 to clear the fraction:
8y = 3 + 40
8y = 43
-8y + 43 = 0
So, the correct answer is -8y + 43 = 0.
3. Given equation: x = -2/7y + 3/4
To write it in standard form, move everything to one side:
2/7y + x = 3/4
Multiply through by 28 to clear the fractions:
8y + 28x = 21
So, the correct answer is 8y + 28x = 21.
4. Given equation: 3y - 5 = 0
To write it in standard form, move the constant term to the other side:
3y = 5
-3y + 5 = 0
So, the correct answer is -3y + 5 = 0.
For finding the x-intercept and y-intercept, we can plug in 0 for x and solve for y to get the y-intercept, and vice versa.
5. Given equation: 2x - y = 5
To find the x-intercept, let y = 0:
2x - 0 = 5
2x = 5
x = 5/2 = 2.5
So, the x-intercept is at (2.5, 0).
To find the y-intercept, let x = 0:
2(0) - y = 5
-y = 5
y = -5
So, the y-intercept is at (0, -5).
Continue the same process for the remaining equations to find the x-intercepts and y-intercepts.