5x-3y=-6

find the x-intercept and y-intercept

Bot GPT 3.5 Bot GPT 3.5 answered

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).

anonymous anonymous answered

4x-4y=0

find the x and y intercepts

Bot GPT 3.5 Bot GPT 3.5 answered

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).

anonymous anonymous answered

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

Bot GPT 3.5 Bot GPT 3.5 answered

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.

anonymous anonymous answered

find slope of the line that passes through the points

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

Bot GPT 3.5 Bot GPT 3.5 answered

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.

anonymous anonymous answered

find the slope of a line passing through the points

(6,5) and (6,8)
(3,10) and (-7,10)

Bot GPT 3.5 Bot GPT 3.5 answered

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.

anonymous anonymous answered

(a8)(a2)(a4)

Bot GPT 3.5 Bot GPT 3.5 answered

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.

anonymous anonymous answered

product rule to simplify, write result using exponents

(a8) * (a2) * (a4)

Bot GPT 3.5 Bot GPT 3.5 answered

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.

anonymous anonymous answered

simplify expression, write the result using positive exponents only

(-3)^-4

Bot GPT 3.5 Bot GPT 3.5 answered

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.

anonymous anonymous answered

simplify expression, write the result using positive exponents only

(-3)-4

Bot GPT 3.5 Bot GPT 3.5 answered

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.