All categories

3 years ago

Graph each line y -7 = x + 4

Mathematics

1 answer:

Delicious77 [7]3 years ago

7 0

Given the the equation: y − 7 = x + 4 ;

We should rewrite the equation in "slope-intercept form" ; that is:

" y = mx + b " ;
______________________
in which: "y" remains an isolated variable on the "left-hand side" of the equation (with "no coefficients"—except the "implied coefficient of "1"
{since "1" , multiplied by any value, results in that same value} ;

"m" refers to the "slope" of the line;
and "m" is the coefficient of "x" ;

"b" refers to the "y-intercept" of the graphed (linear) equation; or more precisely, the value of "y" of the coordinate of the [ point on the graphed line of the equation—where the line crossed the "y-axis" ] ; that is; the "y-coordinate of the "y-intercept" ; that is, the value of "y" when "x = 0" ;
______________________________________________________
{Note that: "m" (the slope) may be a negative value; & that: "y" may be a negative value; as regard to the "slope-intercept form" equation:
that is:
"y = mx + b" . }.
______________________________________________________
So; given the equation:
______________________________________________________
" y − 7 = x + 4 " ;
______________________________________________________
Add "7" to each side of the equation;
to isolate "y" on one side of the equation;
→ {specifically, the "left-hand-side" of the equation} ;

and to rewrite the equation in "slope-intercept form" ; that is;
→ to rewrite the equation in the format:
" y = mx + b " ;
_______________________________________________________
As such: "y − 7 = x + 4 " ;
_______________________________________________________
→ Add "7" to each side of the equation:
_______________________________________________________
→ y − 7 + 7 = x + 4 + 7 ;

to get:
_______________________________________________________
  → y = x + 11 ;
_______________________________________________________
Now, let us graph the equation:
_______________________________________________________
Let us make a table:
_______________________________________________________
x ║ (x + 11) ║ y ║
_______________________________________________________
-20 ║ (-20 + 11) ║ -9 ║

-19 ║ (-19 + 11) ║ -8 ║

-18 ║ (-18 + 11) ║ -7 ║

-17 ║ (-17 + 11) ║ -6 ║

-16 ║ (-16 + 11) ║ -5 ║

-15 ║ (-15 + 11) ║ -4 ║

-14 ║ (-14 + 11) ║ -3 ║

-13 ║ (-13 + 11) ║ -2 ║

-12 ║ (-12 + 11) ║ -1 ║

-11 ║ (-11 + 11) ║ 0   ║

-10 ║ (-10+ 11) ║ 1 ║

-9 ║ (-9 + 11) ║ 2 ║

-8 ║ (-8 + 11) ║ 3 ║

-7 ║ (-7 + 11) ║ 4 ║

-6 ║ (-6 + 11) ║ 5 ║

-5 ║ (-5 + 11) ║ 6 ║

-4 ║ (-4 + 11) ║ 7 ║

-3 ║ (-3 + 11) ║ 8 ║

-2 ║ (-2 + 11) ║ 9 ║

-1 ║ (-1 + 11) ║ 10 ║

0 ║ (0 + 11) ║ 11 ║

1 ║ (1 + 11) ║ 12 ║

2 ║ (2 + 11) ║ 13 ║

3 ║ (3 + 11) ║ 14 ║

4 ║ (4 + 11) ║ 15 ║

5 ║ (5 + 11) ║ 16 ║
_________________________________________________

Now, we plot these points on a graph, and draw a line through these points; the slope is "1" ; since the equation is:
" y = x + 11 " ; Note: The slope, "m", is "1", since there is an "implied coefficient of "1" ; i.e. " y = 1x + 11 " .
___________________________________
Graph of: "y = x + 11 " ;
_____________________________________

You might be interested in

Write 17/100 as a percentage. HELPP ME I LITERALLY DINT KNOW IM Slowww

Readme [11.4K]

Answer:

17 / 100 = 0.17 %

I hope it is helpful

6 0

3 years ago

How can you find this distance (-3,7),(0,4) in words

Bezzdna [24]

Answer:

The distance between these two given points is:

$3\sqrt{2}$

Step-by-step explanation:

We are given two points:

(-3,7),(0,4)

The distance between two points (a,b) and (c,d) is given by the distance formula as:

$\sqrt{(c-a)^2+(d-b)^2$

similarly we can find the length of a line segment by considering the distance between the end points of the line segment.

So here (a,b)=(-3,7)

and (c,d)=(0,4).

Hence distance between these two points is given by:

$\sqrt{(0-(-3))^2+(4-7)^2}=\sqrt{(3)^2+(-3)^2}=\sqrt{9+9}\\ \\=\sqrt{18} \\\\=3\sqrt{2}$

6 0

3 years ago

Read 2 more answers

Skip counting represents 8×4

Blizzard [7]

It represents that because multiplication is like adding continually so it represent 8+8+8+8 which is 8 x 4

5 0

3 years ago

In 1982 Abby’s mother scored at the 93rd percentile in the math SAT exam. In 1982 the mean score was 503 and the variance of the

oksian1 [2.3K]

Answer:

The percentle for Abby's score was the 89.62nd percentile.

Step-by-step explanation:

Problems of normally distributed samples are solved using the z-score formula.

In a set with mean $\mu$ and standard deviation(which is the square root of the variance) $\sigma$ , the zscore of a measure X is given by:

$Z = \frac{X - \mu}{\sigma}$

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

Abby's mom score:

93rd percentile in the math SAT exam. In 1982 the mean score was 503 and the variance of the scores was 9604.

93rd percentile. X when Z has a pvalue of 0.93. So X when Z = 1.476.

$\mu = 503, \sigma = \sqrt{9604} = 98$