All categories

3 years ago

write the eqaution in slope intercept form of the line that has a slope of 2 and contains the point (4,2)

1 answer:

3 0

Slope intercept form:
y=mx+b
m=slope
b=y-intercept:

We Know the slope (m=2)and we have a point (4,2) then:
x₀=4
y₀=2
we have to find "b"
y=mx+b
2=2(4)+b
8+b=2
b=2-8
b=-6

Therefore:
if b=-6 and m=2; the equation in slope intercept form would be:
y=2x-6

<span>Answer: y=2x-6</span>

You might be interested in

Keegan is printing and selling his original design on t-shirts. He has concluded that for x shirts, in thousands sold his total

Katarina [22]

Answer:

t-shirts: 2790

profit: $12209

Step-by-step explanation:

Given the function:

p(x) = -x³ + 4x² + x

we want to maximize it.

The following criteria must be satisfied at the maximum:

dp/dx = 0

d²p/dx² < 0

dp/dx = -3x² + 8x + 1 = 0

Using quadratic formula:

$x = \frac{-b \pm \sqrt{b^2 -4(a)(c)}}{2(a)}$

$x = \frac{-8 \pm \sqrt{8^2 -4(-3)(1)}}{2(-3)}$

$x = \frac{-8 \pm 8.72}{-6}$

$x_1 = \frac{-8 + 8.72}{-6}$

$x_1 = -0.12$

$x_2 = \frac{-8 - 8.72}{-6}$

$x_2 = 2.79$

d²p/dx² = -6x + 8

d²p/dx² at x = -0.12: -6(-0.12) + 8 = 8.72 > 0

d²p/dx² at x = 2.79: -6(2.79) + 8 = -8.74 < 0

Then, he should prints 2.79 thousands, that is, 2790 t-shirts to make maximum profits.

Replacing into profit equation:

p(x) = -(2.79)³ + 4(2.79)² + 2.79 = 12.209

that is, $12209

3 0

3 years ago

Which sentence uses coordinate adjectives?

Salsk061 [2.6K]

The correct answer should be A) because the adjectives are water and ice and they're describing the glass.

6 0

3 years ago

The volume of a triangular prism is increased by a factor of 8.

Allushta [10]

Answer:

Step-by-step explanation:

3 0

3 years ago

s2008m [1.1K]

84 blue marbles.
Steps:
1) Use the 3:7 ratio
2) Since there are 36 red marbles, you should know to multiply the ratio by 12.
3) Multiply 7 by 12 (7x12=84)

3 0

2 years ago

1. The daily wages of 50 workers in a factory are given below:

nata0808 [166]

I thing the answer is 7 days

3 0

2 years ago