What is the equation of a line passing through (-3,7) and having a slope of -1/5?

1 answer:

4 0

We'll use the slope-intercept form y = mx + b. Where m is the slope and b is the y-intercept.

We know the slope, -1/5. Now the equation looks like y = (-1/5)m + b

To find the y-intercept, plug in the ordered pair that the question gave us into our equation and solve for b.

7 = (-1/5)(-3) + b
7 = 0.6 + b
6.4 = b
b = 6 2/5

So, the y-intercept will be at 6 2/5.

You might be interested in

Find the sum -0.3 + 25/100

Evgesh-ka [11]

Answer:

-0.05

Step-by-step explanation:

8 0

3 years ago

Los 2/9 de mis lapices son blancos y los 21 restantes azules. ¿Que fracción de lapices son azules? ¿Cuantos lapices en total ten

Gelneren [198K]

Answer:

7/9 son azules. hay 27 en total y hay 6 lapices de blanco

Step-by-step explanation:

8 0

3 years ago

Match the polynomial expression on the left with the simplified version on the right.

Vitek1552 [10]

Given the following question:

First expression:

$\begin{gathered} \frac{12x^3-14x^2+16x-8}{3x-2} \\ \text{ Factor the expression:} \\ 12x^3-14x^2+16x-8=2(6x^3-7x^2+8x-4) \\ \frac{2\left(6x^3-7x^2+8x-4\right)}{3x-2} \\ \text{ Factor:} \\ 2\left(6x^3-7x^2+8x-4\right)=(3x-2)(2x^2-x+2) \\ =(3x-2)(2x^2-x+2)=2\left(3x-2\right)\left(2x^2-x+2\right) \\ \frac{2\left(3x-2\right)\left(2x^2-x+2\right)}{3x-2} \\ \text{ Cancel the common factor:} \\ -(3x-2) \\ 4x^2-2x+4 \end{gathered}$

Second expression: