Solve for x
6x+5y=-15
subtract 6x from both sides
5y=-6x-15
divide both sides by 5
y=-6/5x-3
Answer:
y = 8x + 14
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
y = -
x + 6 ← is in slope- intercept form
with slope m = - 
Given a line with slope m then the slope of a line perpendicular to it is
= -
= -
= 8 , then
y = 8x + c ← is the partial equation
To find c substitute (- 3, - 10 ) into the partial equation
- 10 = - 24 + c ⇒ c = - 10 + 24 = 14
y = 8x + 14 ← equation of perpendicular line
The length of b and angle B and C are 2. 9cm, 44. 9 degrees and 79. 11 degrees respectively.
<h3>How to determine the parameters</h3>
To determine the angles and length of sides, we use the sine rule
The sine rule is thus:

Given;
- a = 2. 5cm
- c = 3. 6cm
- ∠A = 43°
Let's find angle C

cross multiply
0. 682 × 3. 6 = sin C × 2. 5
sin C = 2. 4552/ 2. 5
C = 
C = 79. 11°
To find length of b
b = 
substitute the values
b = 
b = 
b = 
Take square root
b = 2. 59 cm
To find angle B, we have

cross multiply
0. 682 × 2. 59= sin B × 2. 5
sin B = 0. 7066
B = 
B = 44. 9 °
Thus , the length of b and angle B and C are 2. 9cm, 44. 9 degrees and 79. 11 degrees respectively.
Learn more about sine rule here:
brainly.com/question/12827625
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