All categories

3 years ago

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

Mathematics

1 answer:

Natali5045456 [20]3 years ago

6 0

Answer:

y = - 10x + 40

Step-by-step explanation:

Two points

$(0,40), (4, 0)$

Slope

$m=\frac{0-40}{4-0} =-\frac{40}{4} =-10$

Equation:

$y-40=-10(x-0)$

$y-40=-10x$

$y=-10x+40$

Hope this helps

You might be interested in

Angl is a square. The equation of line NG is Y= 1/2 X - 6. Find the equation of line LG in slope intercept form given that the c

Irina18 [472]

Answer: y=-2x-9

Step-by-step explanation:

If ANGL is a square, then NG and LG are adjacent sides.

Adjacent sides are perpendicular. [Each angle is 90°]

The equation of line NG is $Y=\dfrac12 X-6$ .

By comparing it to equation in slope intercept form y=mx+c ( where , m= slope , c=y-interecpt)

slope = $\dfrac12$

Let slope of LG be <em>n</em>, then

$n\times \dfrac{1}{2}=-1$ [Product of slopes of two perpendicular line =-1]

$\Rightarrow n=-2$

Equation of a line passes through (a,b) and have slope m is given by :-

$(y-b)=m(x-a)$

Equation of LG :

$(y-1)=-2(x-(-5))\\\\\Rightarrow\ y-1=-2x-10\\\\\Rightarrow\ y=-2x-9$ [In intercept form]

3 0

3 years ago

The vertices of a right triangle are (-3, 5), (4, -1), and (4, y). What is the value of y?

pantera1 [17]

C................................................. :)

4 0

3 years ago

Find the slope of the line passing through the points (-5, 3) and (7,9).

dybincka [34]

Answer:

$\huge\boxed{slope=\dfrac{1}{2}=0.5}$

Step-by-step explanation:

The formula of a slope:

$m=\dfrac{y_2-y_1}{x_2-x_1}$

We have the points

$(-5;\ 3)\to x_1=-5;\ y_1=3\\(7;\ 9)\to x_2=7;\ y_2=9$

Substitute:

$m=\dfrac{9-3}{7-(-5)}=\dfrac{6}{7+5}=\dfrac{6}{12}=\dfrac{6:6}{12:6}=\dfrac{1}{2}$

5 0

4 years ago

Read 2 more answers

Musa loves playing Fortnit each evening. One battle lasts 1/2 of an hour. His mom lets him play 3 1/2 hours per week. How many r

GalinKa [24]

Answer:

Musa can play 7 rounds a week

Step-by-step explanation:

There's two 1/2 intervals in one hour, so 3 would be 6, plus the 1/2 hour equals 7 rounds

3 0

4 years ago

8 1/4 divied by d = 2/11 what is d

Luda [366]

Answer:

d = 363/8

Step-by-step explanation:

Let's write this as a fraction:

8 1/4 2

------------- = -------

d 11

One way in which this could be approached would be to interchange 'd' and '2:'

8 1/4 d 33 d

------------- = ------- or -------- = ---------

2 11 4(2) 11

Multiplying both sides by 11 isolates d:

33(11) 363

-------- = d, or d = ----------

8 8

7 0

3 years ago