Which linear function represents the line given by the point-slope equation y + 1 = –3(x – 5)?

 or  

Step-by-step explanation:

we have

----> equation of the line into point-slope form

step 1

Convert to slope intercept form

The equation of the line into slope intercept form is equal to

so

----> equation of the line into slope intercept form

step 2

Convert to standard form

The equation of the line into standard form is equal to

so

we have

Adds 3x both sides

----> equation of the line in standard form

37/3

step-by-step explanation:

step 1: simplify both sides of the equation.

7x+8(x+

1

4

)=3(6x−9)−8

7x+(8)(x)+(8)(

1

4

)=(3)(6x)+(3)(−9)+−8(distribute)

7x+8x+2=18x+−27+−8

(7x+8x)+(2)=(18x)+(−27+−8)(combine like terms)

15x+2=18x+−35

15x+2=18x−35

tep 2: subtract 18x from both sides.

15x+2−18x=18x−35−18x

−3x+2=−35

step 3: subtract 2 from both sides.

−3x+2−2=−35−2

−3x=−37

step 4: divide both sides by -3.

−3x

−3

=

−37

−3

x=

37

3