Is it always, sometimes, or never true that a linear equation has exactly one y-intercept?

Mathematics

2 answers:

lapo4ka [179]3 years ago

3 0

This is always true.

y = mx + b
y is output
m is slope
x is input
b is y intercept

Kitty [74]3 years ago

3 0

It is sometimes true that a linear equation has exactly one y-intercept

You might be interested in

Find the coordinates of point B that lies along the directed line segment from A(-5, 2) to C(11, 0) and partitions the segment i

olga2289 [7]

Answer:

B ( 5 , 3/4 )

Step-by-step explanation:

Solution:-

We are given two points in the cartesian coordinate system as:

A ( -5 , 2 ) C ( 11, 0 )

The point B lies on the line segment from A to C. The ratio of segment given is:

AB / BC = 5 / 3

To solve such type of problems. We will use vector equation of line AC.

To form a vector equation of line representing AC. We will first determine the direction vector ( d ) that is parallel to the line AC as follows:

d = OC - OA

d = < 11, 0 > - < -5,2 >

d = < 16 , -2 >

The fixed point on the line is taken. We will take point A. The vector equation of line from point A to point C is expressed as:

< x , y > = OA + t*d

< x , y > = < -5, 2 > + t* < 16 , - 2 >

The above equation satisfies all the points that lies on the line AC. To determine the coordinates of ( B ). We will plug in the appropriate value of parameter ( t ) and evaluate. We are given the ratio 5:3.

So point B is 5/8 th the magnitude of the distance AC from A. Hence, t = 5/8 as follows:

< x , y > = < -5 , 2 > + ( 5/8 ) * < 16 , -2 >

< x , y > = < -5 , 2 > + < 10 , -5/4 >

< x , y > = < 5 , 3/4 > ... Answer

4 0

2 years ago

I don't get this problem. Lila decided to make kore baked goods for the bake sale. She used 1 / 8 lb less flour to make bread th

Anvisha [2.4K]

Start by taking the information we know, and write equations to represent the realationships:

1) "1/8 lbs less flour to make bread than to make cookies"
$b=c-\frac{1}{8}$

2) "1/4 lb more flour to make cookies than to make brownies:
$c=w+\frac{1}{4}$

3) "she used 1/2 lb of flour ro make bread"
$b = \frac{1}{2}$

From here you can solve for $w$ using back substitution.