Answer:

Step-by-step explanation:
Given



Required
Determine the coordinates of P
The coordinate of a point when divided into ratio is:

Where



This gives:




Answer:
Step-by-step explanation:
<u>Given line:</u>
It has a slope of 2/3.
<u>Perpendicular lines have negative-reciprocal slopes, so the perpendicular slope is:</u>
<u>Find its equation provided it passes through the point (4, - 2):</u>
- y - (-2) = - 3/2(x - 4)
- y + 2 = - 3/2(x - 4)
Answer:
3x+4y=20
Step-by-step explanation:
The slope-intercept equation would be:
y=mx+b
y=-3/4(x)+5
But standard form is
ax+by=c
We can obtain this by moving the -3/4(x) to the left side

Multiply both sides by 4 to get rid of the fraction
3x+4y=20
Note: two negatives multiplied together = one positive answer
one negative & one positive multiplied together = one negative answer
Multiply -8 and -3 together
-8(-3) = 24
24(-2) = -48
-48(4) = -192
D) -192 is your answer
hope this helps
The rate of change is equal to rise over run
= (-1 - 8)÷(3 - 0)
= -9 ÷ 3
= -3
When you say initial value I'm assuming you mean the y-intercept
In that case you first need to find the equation of the line by substituting the gradient and point into the gradient intercept formula
y - 8 = -3(x - 0)
y = -3x + 8
The y-intercept is when x = 0 so,
y = -3(0) + 8
Therefore y = 8