+0  
 
-2
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avatar+199 

Find the equation of a line with a given slope and containing the given point. Write the equation in slope-intercept form.

m = − 3/4,  point (8, −4)

 

 

Find the equation of a line with a given slope and containing the given point. Write the equation in slope-intercept form.

m = − 7/2,  point (−8, −4)

 

 

 

Find the equation of a line with a given slope and containing the given point. Write the equation in slope-intercept form.

m = −6, point (−1, −4)

 

 

Find the equation of a line with a given slope and containing the given point. Write the equation in slope-intercept form.

a horizontal line containing (−3, −5)

 Mar 30, 2020
 #1
avatar+1956 
+2

1)

 

Formula for slope:

 

y=mx+b
-4=(-3/4)(8)+b    substitution
-4=-6+b
4+6=b    additive inverse
2=b

 

Now we can substitute b into our equation.

 

So, y=(-3/4)x+2 will be our answer!

 

(Thanks to CPhill for correcting me!)

 Mar 30, 2020
edited by CalTheGreat  Mar 30, 2020
edited by CalTheGreat  Mar 30, 2020
 #5
avatar+632 
0

Nice! Good job on all of your answers!

AnExtremelyLongName  Mar 30, 2020
 #2
avatar+1956 
+2

Deleted, answer incorrect.

 Mar 30, 2020
edited by CalTheGreat  Mar 30, 2020
edited by CalTheGreat  Mar 30, 2020
 #6
avatar+111321 
+2

A slight  mistake 

 

y =(-7/2) (x - - 8)  - 4

 

y =(-7/2) ( x + 8)  -  4

 

y = (-7/2) x - 56/2  - 4

 

y = (-7/2)x - 28  - 4

 

y = (-7/2)x -  32

 

cool cool cool

CPhill  Mar 30, 2020
 #3
avatar+1956 
+2

3) Again! :D

 

y=mx+b
-4=(-6)(1)+b    substitution
-4=-6+b
4+6=b    additive inverse
2=b

 

Now we can substitute b into our equation.

 

So, y=-6x+2 will be our answer!

 Mar 30, 2020
 #4
avatar+1956 
+1

4) A HORIZONTAL line's slope is unchanging, so the slope is 0.

 Mar 30, 2020
 #7
avatar+111321 
+2

Find the equation of a line with a given slope and containing the given point. Write the equation in slope-intercept form.

m = −6, point (−1, −4)

 

y = -6( x - - 1)  - 4

 

y  = -6 ( x + 1)  -  4

 

y = -6x  - 6  -  4

 

y = -6x  - 10

 

 

 

cool cool cool

 Mar 30, 2020
 #8
avatar+111321 
+2

Find the equation of a line with a given slope and containing the given point. Write the equation in slope-intercept form.

a horizontal line containing (−3, −5)

 

A horizontal  line  will  just  have  the equation

 

y = - 5       (the  y coordinate of the given point)

 

 

cool cool cool

 Mar 30, 2020

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