Answer:
9 = 1(7) + 2
So generally it is:
y = x + 2 (I think this is the answer your teacher wants)
Step-by-step explanation:
y = mx + b is the slope intercept form equation
you know that 9 is one of your y points, so you can plug it in (9 = mx + b)
you also know that 7 is an x point, so you can plug it in as well (9 = m(7) + b)
then you can plug in your slope because you know that as well (9 = 1(7) + b)
to find your intercept, subtract your y point from the x point since there is a slope of one (you can only do this for a slope of one) you will get two as your intercept (9 = 1(7) + 2) this is your exact equation with that one point, but to generalize it so you could find any point, you would write: y = x + 2 (you don't include the slope because it is just one)
Hope this helped!
:D
Answer:
Step-by-step explanation:
Sum of all the angles of a triangle = 180°
∠A + ∠B + ∠C = 180°
48 + ∠B + 56 = 180
∠B + 104 = 180
∠B = 180 - 104
∠B = 76°
If the endpoints of DE where D(-3, y) and E(x, 6) with the midpoint M(4, 2), the length of DE is 16.12 units
The formula for calculating the midpoint is expressed as;

For the x-coordinate points:
X = -3+x/2
4 * 2 = -3 + x
8 = -3 + x
x = 8 + 3
x = 11
Get the value of y;
2 = y+6/2
y+6 = 2 * 2
y + 6 = 4
y = 4 - 6
y = -2
Hence the coordinates of D and E are D(-3, -2) and E(11, 6)

Hence the length of DE is 16.12 units
Learn more here; brainly.com/question/22624745
First work out the parenthesis:
9x⁴y⁴ / 3y²
Then get rid of the denominator using 9/3=3 and y⁴/y² = y²
3x⁴y² is the simplest form.