Answer:
52.5
Step-by-step explanation:
A. equation: y = -3x - 2
B. y-intercept: -2
<em><u>Solution:</u></em>
Given that,
<em><u>Write the equation 12x = - 4y - 8 in slope-intercept form</u></em>
The slope intercept form is given as:

Where,
m is the slope and "c" is the y intercept
From given

Thus the slope intercept form is found
Comparing with y = mx + c ,
c = -2
Thus the y intercept is -2
<span>Every point went up 4 units and left 3 units.
</span><span>Point X on the triangle moved up 4 and left 3.
That formed a right triangle with legs 4 and 3.
The distance point X moved to point X', d, is the hypotenuse of the right triangle.
</span><span>Using the Pythagoras Theorem
</span><span><span>3^2</span>+<span>4^2</span>=<span>d^2
d = 5
</span></span>
Answer:
(-9.5, -4)
Step-by-step explanation:
Given the ratio a:b (a to b) of two segments formed by a point of partition, and the endpoints of the original segment, we can calculate the point of partition using this formula:
.
Given two endpoints of the original segment
→ (-10, -8) [(x₁, y₁)] and (-8, 8) [(x₂, y₂)]
Along with the ratio of the two partitioned segments
→ 1 to 3 = 1:3 [a:b]
Formed by the point that partitions the original segment to create the two partitioned ones
→ (x?, y?)
We can apply this formula and understand how it was derived to figure out where the point of partition is.
Here is the substitution:
x₁ = -10
y₁ = -8
x₂ = -8
y₂ = 8
a = 1
b = 3
. →
→
→
→
→
→
→
*
*
Now the reason why this