All categories

3 years ago

What is the y intercept of the liner function that contains the points (4,1) (-3, -20)

Mathematics

1 answer:

myrzilka [38]3 years ago

8 0

Answer:

Step-by-step explanation:

To get the y-intercept, we need to get the slope first

Slope = y2-y1/x2-x1

Slope = -20-1/-3-4

slope = -21/-7

Slope = 3

Get the y-intercept. Substitute m = 3 and any point say (4, 1) into the expression y = mx+c

c is the y-intercept

1 = 3(4) + c

1 = 12 + c

c =1-12

c = -11

Hence the y-intercept is -11

You might be interested in

Find the intersection points of the linear and quadratic functions shown below f(x)=2x-5 g(x)= x2+2x-21

Mice21 [21]

Answer:

$(-4,-13)$ and $(4,3)$ the intersection points.

Step-by-step explanation:

Intersection point of two functions is a common point which satisfies both the functions.

Given functions are,

$f(x)=2x-5$

$g(x)=x^2+2x-21$

For a common point of these functions,

$f(x)=g(x)$

$2x-5=x^2+2x-21$

$-5=x^2-21$

$0=x^2-16$

$x^2=16$

$x=-4,4$

For $x=-4$ ,

$f(-4)=g(-4)=2(-4)-5$

$=-13$

For $x=4$ ,

$f(4)=g(4)=2(4)-5$

$=3$

Therefore, $(-4,-13)$ and $(4,3)$ the intersection points.

3 0

3 years ago

Find the midpoint of points A(-3,9) and B(0, 1) graphically.

Studentka2010 [4]

Answer:

$(-\frac{3}{2} , 5)$

Step-by-step explanation:

The graph is in the image

$Midpoint =\left(\frac{x_2+x_1}{2},\:\:\frac{y_2+y_1}{2}\right)\\\\\left(x_1,\:y_1\right)=\left(-3,\:9\right),\:\left(x_2,\:y_2\right)=\left(0,\:1\right)\\\\\left(\frac{0-3}{2},\:\frac{1+9}{2}\right)\\\\Add\:or\:subtract\:the\:numbers\\\\(\frac{-3}{2} , \frac{10}{2}) \\\\Simplify\\\\(-\frac{3}{2} , 5)\\$

7 0

3 years ago

The lengths of the sides of a triangle are 2x+1, 3x-2, and 4x-5. what is the perimeter in terms of x

STALIN [3.7K]

Answer:

Step-by-step explanation:

2X + 1 + 3X - 2 + 4X - 5 = 180

9X - 6 = 180

9X = 174

9 = 174

ـــــــــــــــــــــ

9 9

X = 19.333

8 0

3 years ago

Why would someone want to factor a polynomial? Provide real-world examples of different questions we can answer or factors we ca

IgorC [24]

Factoring is a common mathematical process used to break down the factors, or numbers, that multiply together to form another number. Some numbers have multiple factors.

<u>Explanation:</u>

Factoring polynomials involves breaking up a polynomial into simpler terms (the factors) such that when the terms are multiplied together they equal the original polynomial. Factoring helps solve complex equations so they are easier to work with. Factoring polynomials includes: Finding the greatest common factor.

Factoring (called "Factorizing" in the UK) is the process of finding the factors: Factoring: Finding what to multiply together to get an expression. It is like "splitting" an expression into a multiplication of simpler expressions.

6 0

4 years ago

Ayúdenme por favor necesito esto resolvió para mañana

lions [1.4K]

Answer:

Cómo puedo ayudar

Step-by-step explanation:

7 0

3 years ago