Answer:
y = - 2x + 7
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 )
Calculate m using the slope formula
m =
with (x₁, y₁ ) = (8, - 9) and (x₂, y₂ ) = (- 4, 15)
m = =
= - 2, thus
y = - 2x + c ← is the partial equation
To find c substitute either of the 2 points into the partial equation
Using (8, - 9), then
- 9 = - 16 + c ⇒ c = - 9 + 16 = 7
y = - 2x + 7 ← equation of line
I have attached an image of the triangle.
BC = 9 cm
Answer:
CE = 7.2 cm
Step-by-step explanation:
In the attached triangle, we see that;
AB = AC = 7.5cm
BC = 9 cm
AD = 6cm
BC = 9cm
Formula for area of triangle is given as;
A = ½bh
Where b is base and h is height.
For the ∆ ABC with BC as base,
Area = ½ × 9 × 6 = 27 m²
Similarly, For ∆ ABC with AB as base,
Area = ½ × 7.5 × CE
Now, area from earlier is 27 cm²
Thus;
½ × 7.5 × CE = 27
Multiply both sides by 2 to get;
7.5CE = 54
CE = 54/7.5
CE = 7.2 cm
Answer:
Step-by-step explanation:
Translating a function up is very simple, all you need to do here is add 8.
If you want to think of it logically,
the whole right side of the function here can be our output. If x is 8, then the output, or height, is also 8. if you wanted to translate that up to 10, you'd simply need to add 2 to it, meaning . Then, at any given point on the function, it'd be 2 higher than it would be otherwise.
