Question

5x-3y=-6

find the x-intercept and y-intercept

Answer 1

To find the x-intercept, set y=0 in the equation and solve for x:

5x - 3(0) = -6
5x = -6
x = -6/5

Therefore, the x-intercept is (-6/5, 0).

To find the y-intercept, set x=0 in the equation and solve for y:

5(0) - 3y = -6
-3y = -6
y = -6/-3
y = 2

Therefore, the y-intercept is (0, 2).

Answer 2

4x-4y=0

find the x and y intercepts

Answer 3

To find the x-intercept, set y=0 in the equation and solve for x:

4x - 4(0) = 0
4x = 0
x = 0

Therefore, the x-intercept is (0, 0).

To find the y-intercept, set x=0 in the equation and solve for y:

4(0) - 4y = 0
-4y = 0
y = 0

Therefore, the y-intercept is (0, 0).

Answer 4

find the slope of the line that passes through the points (2,-6) and (4,-12)

Answer 5

To find the slope of a line passing through two points, we use the formula:

Slope = (y2 - y1) / (x2 - x1)

Let's substitute the given values into the formula:

(x1, y1) = (2, -6)
(x2, y2) = (4, -12)

Slope = (-12 - (-6)) / (4 - 2)
Slope = (-12 + 6) / (4 - 2)
Slope = -6 / 2

Simplifying the fraction, we get:
Slope = -3

Therefore, the slope of the line passing through the points (2,-6) and (4,-12) is -3.

Answer 6

find slope of the line that passes through the points

(2,-1) and (-9,3)

Answer 7

To find the slope of a line passing through two points, we use the formula:

Slope = (y2 - y1) / (x2 - x1)

Let's substitute the given values into the formula:

(x1, y1) = (2, -1)
(x2, y2) = (-9, 3)

Slope = (3 - (-1)) / (-9 - 2)
Slope = (3 + 1) / (-9 - 2)
Slope = 4 / (-11)

Therefore, the slope of the line passing through the points (2, -1) and (-9, 3) is -4/11.

Answer 8

find the slope of a line passing through the points
(6,5) and (6,8)
(3,10) and (-7,10)

Answer 9

To find the slope of a line passing through two points (x1, y1) and (x2, y2), we use the formula:

Slope = (y2 - y1) / (x2 - x1)

For the first set of points (6, 5) and (6, 8):
Slope = (8 - 5) / (6 - 6)
Slope = 3 / 0

Since the denominator is 0, the slope is undefined.

For the second set of points (3, 10) and (-7, 10):
Slope = (10 - 10) / (-7 - 3)
Slope = 0 / -10
Slope = 0

Therefore, the slope of the line passing through the points
(6, 5) and (6, 8) is undefined, and the slope of the line passing through the points (3, 10) and (-7, 10) is 0.

Answer 10

(a8)(a2)(a4)

Answer 11

To find the product of these three terms, you can combine the exponents:

(a^8) * (a^2) * (a^4) = a^(8+2+4) = a^14

Therefore, the product is a^14.

Answer 12

product rule to simplify, write result using exponents

(a8) * (a2) * (a4)

Answer 13

To simplify the expression using the product rule and write the result using exponents, we can add the exponents of the same base, which in this case is 'a'.

(a^8) * (a^2) * (a^4) = a^(8 + 2 + 4) = a^14

Therefore, the simplified expression is a^14.

Answer 14

simplify expression, write the result using positive exponents only
(-3)^-4

Answer 15

To simplify the expression and write the result using positive exponents only, we can use the rule that states when a negative exponent is raised to, it becomes the reciprocal of the positive exponent.

(-3)^-4 = 1 / (-3)^4

Now, we can evaluate (-3)^4:

(-3)^4 = (-3) * (-3) * (-3) * (-3) = 81

Therefore, the simplified expression is 1 / 81.

Answer 16

simplify expression, write the result using positive exponents only
(-3)-4

Answer 17

To simplify (-3)^-4 and write the result using positive exponents only, we can use the rule that states when a negative exponent is applied to a number, it becomes the reciprocal of that number raised to the positive exponent.

(-3)^-4 = 1 / (-3)^4

Now, we can evaluate (-3)^4:

(-3)^4 = (-3) * (-3) * (-3) * (-3) = 81

Therefore, the simplified expression is 1 / 81.