Can you write this equation in point-slope form? y = ½x + 4?

1 answer:

4 0

Yes. This equation given:
______________________________
   " y = (½)x + 4 " ; in point-slope form; also known as: "slope-intercept form" ; is:
______________________________________
    " y = (½)x + 4 " .
______________________________________
In other words, the equation given is ALREADY written in "point-slope form" ; or, "slope-intercept form".
______________________________________
Note:   An equation that is written in "point-slope form"
             (or, "slope-intercept form"), is written in the format of:
______________________________________
" y = mx + b " ;_________________
in which:_________________
"y" is a single, "stand-alone" variable on the "left-hand side of the equation"; "m" is the coefficient of "x"; also:
"m" is the slope of the line; which is what we want to solve for;
"b" is the "y-intercept"; or more precisely, the value of "x"
(that is; the "x-coordinate") of the point at which "y = 0";
that is, the value of "x" ; or the "x-coordinate" of the point at which
the graph of the equation crosses the "x-axis".
______________________________________
Note that in our given equation, which is written in "point-slope form" (or, "slope-intercept form" — that is: " y = mx + b " ;
_______________________________________
which is: " y = (½)x + 4 " ;
_______________________________________
we have:
_______________________________________
"y" isolated as "stand-alone" variable on the "left-hand side" of the equation;

m = ½ ;
b = 4 .
_______________________________________

You might be interested in

These figures are similar. What is the length of the missing side, x?

pshichka [43]

Answer:

5 ft

Step-by-step explanation:

the smaller one is 1/3 of the size of the bigger one

3 0

2 years ago

A function is given. Determine the average rate of change of the function between the given values of the variable: f(x)= 4x^2;

nevsk [136]

$\bf slope = {{ m}}= \cfrac{rise}{run} \implies 
\cfrac{{{ f(x_2)}}-{{ f(x_1)}}}{{{ x_2}}-{{ x_1}}}\impliedby 
\begin{array}{llll}
average\ rate\\
of\ change
\end{array}\\\\
-------------------------------$

$\bf f(x)= 4x^2 \qquad 
\begin{cases}
x_1=3\\
x_2=3+h
\end{cases}\implies \cfrac{f(3+h)-f(3)}{(3+h)~-~(3)}
\\\\\\
\cfrac{[4(3+h)^2]~~-~~[4(3)^2]}{\underline{3}+h-\underline{3}}\implies \cfrac{4(3^2+6h+h^2)~~-~~4(9)}{h}
\\\\\\
\cfrac{4(9+6h+h^2)~~-~~36}{h}\implies \cfrac{\underline{36}+24h+4h^2~~\underline{-~~36}}{h}
\\\\\\
\cfrac{24h+4h^2}{h}\implies \cfrac{\underline{h}(24+4h)}{\underline{h}}\implies 24+4h$

8 0

2 years ago

Half of Hillary’s friend, Jamiz’s fourth grade class is female. Including Jamiz, there are 14 girls in the class. How many stude

Yuri [45]

Including Jamiz, there are 14 girls in the class. If this if half of the total number of pupils (as half are girls, the other half being boys) the total number of students is 14 × 2 = 28 students

3 0

2 years ago

Dear algebra stop asking us to find your x don't ask y

nirvana33 [79]

Answer:

PREACH

Step-by-step explanation:

that is so smart :)

7 0

2 years ago

Read 2 more answers

List the measurement below from smallest to largest .7 cm 18 mm 1 m 3 dm

Ivanshal [37]

In order to list the measurements from smallest to largest, we convert all the measurement to a common unit. In this item, we convert the given to meters, m.

A. The conversion factor to be used here is 1 m = 100 cm
(7 cm)(1 m / 100 cm) = 0.07 m

B. Conversion factor: 1 m = 1000 mm
(18 mm) (1 m / 1000 mm) = 0.018 m

C. Let us list this as is, 1 m

D. The conversion factor here is 1 m = 10 dm
(3 dm)(1 m / 10 dm) = 0.3 m

By the converted values, we are then able to arrange the given measurements.Hence, the arrangement should be 18 mm, 7 cm, 3 dm, and 1 m.

4 0

2 years ago