What is the equation for a line parallel to the line shown in the graph, that passes through the point (-3, 9)?

Question 11 options:

A. y =

B. y =

C. y =

D. y =

option C is the correct answer.

Step-by-step explanation:

The equation of a straight line can be represented in the slope intercept form as

y = mx + c

Where

c represents the y intercept

m = slope = (change in the value of y in the y axis) / (change in the value of x in the x axis)

Slope = (y2 - y1)/(x2 - x1)

Slope = (8 - 5)/(4 - 0) = 3/4

If two lines are parallel, it means that they have the same slope. Therefore, the slope of the line passing through (- 3, 9) is 3/4

To determine the y intercept, we would substitute m = 3/4, x = - 3 and y = 9 into y = mx + c. It becomes

9 = 3/4 × - 3 + c

9 = - 9/4 + c

c = 9 + 9/4

c = 45/4

The equation becomes

y = 3x/4 + 45/4

i need points

step-by-step explanation:

sorry bubs

1) the property is   ixi = a ⇔x = a   o x = -a

4(x-5)+3= 15⇒4x-20+3 = 15⇒4x-17= 15⇒4x = 15+17⇒4x = 32⇒x =32/4= 8

4(x-5) +3= -15⇒4x-20 +3 = -15⇒4x-17= -15⇒4x =-15+17⇒4x = 2⇒x =2/4= 1/2

the values are x =8 and x = 0,5