Mathematics, 27.06.2019 13:30 laceybabin1952

Write the equation of the given line in slope-intercept form.

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Answer from: KindaSmartPersonn

y = 2x - 1

Step-by-step explanation:

The line passes through points A(1, 1) and B(2, 3).

The slope-intercept form of the equation of a line is

y = mx + b,

where m = slope, and b = y-intercept.

We see from the graph that the y-intercept is -1, so b = -1, and we have

y = mx - 1

Going from point A to point B, we go up two units and right 1 unit. Slope = m = difference in y over difference in x, so

m = 2/1 = 2

The equation is

y = 2x - 1

Answer from: lbelle

2x + -1

Step-by-step explanation: In this problem, we're asked to write the equation of the given line in slope-intercept form.

Slope-intercept form is the same thing as y = mx + b form where m represents the slope of the line and b represents the y-intercept. So our first step is to find the slope and the y-intercept of the given line.

To find the slope, we use the ratio rise over run between any two points on the line. To get from point A to point B along this line, we rise 2 units and run 1 unit. So our slope or rise over run is 2/1 or just 2.

Next, to find the y-intercept, it's important to understand that the y-intercept is the point where the line crosses the y-axis. Notice that this line crosses the y-axis at the point (0,-1) which means that the y-intercept is -1.

Therefore, m = 1/2 and b = -1 and we substitute these values into our formula for m and b to get y = 2x + -1.

So the equation of the given line in slope-intercept form is y = 2x + -1.

Answer from: Quest

answer:

it is general formula that is used to write value to its excet position

a11 a12 a13

a21 a22 a23

it is the example of order 2 by 3 matrix in this

a11 means value occur in 1 st row 1st column

a12 means value occurs in 1st row 2nd column

a13 means value occur in 1st row and 3rd column

a21 means value occurs in 2nd row and 1st column

a22 means value occurs in 2nd row and in 2nd column

a23 means value occurs in 2nd row and in 3rd column

Answer from: Quest

$a_1 = 1$ , and

$a_{n+1} = a_n + (n + 1)$ for $n \ge 1$

step-by-step explanation:

we can analyze the pattern at which the terms increase. let us denote $a_1 = 1$ , $a_2 = 3$ , $a_3 = 6$ , so that we can call

1 the 1st term, 3 the 2nd term, 6 the 3rd term,etc.

note the following:

from the 1st term (1) to the 2nd term (3), we go up by 2,from the 2nd term (3) to the 3rd term (6), we go up by 3from the 3rd term (6) to the 4th term (10), we go up by 4, andfrom the 4th term (10) to the 5th term (15), we go up by 5.

the pattern: to get the next term value, we just add the next term number (e.g. 1st, 2nd, to the previous term value (term values are the given numbers in the question, 1, 3, 6, 10, 15,

from $a_1 = 1$ , to get to $a_2 = 3$ , we add $2(=1+1)$

from $a_2 = 3$ , to get to $a_3 = 6$ , we add $3 (=2+1)$

etc.

we need to form a recursive formula, a formula that has the next term as a function of the previous term. so a possible recursive formula can be

$a_1 = 1$ , and $a_{n+1} = a_n +(n + 1)$ for $n \ge 1$

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Write the equation of the given line in slope-intercept form....

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