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# math

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8

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
+2

1)

Formula for slope:

y=mx+b
-4=(-3/4)(8)+b    substitution
-4=-6+b
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
0

AnExtremelyLongName  Mar 30, 2020
#2
+2

Mar 30, 2020
edited by CalTheGreat  Mar 30, 2020
edited by CalTheGreat  Mar 30, 2020
#6
+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   CPhill  Mar 30, 2020
#3
+2

3) Again! :D

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

Now we can substitute b into our equation.

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

Mar 30, 2020
#4
+1

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

Mar 30, 2020
#7
+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   Mar 30, 2020
#8
+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)   Mar 30, 2020