Answer:
y - 7 = -2(x - 4)
Step-by-step explanation:
We are asked to write the equation of a line in point slope form
Step 1 : find slope
We are given the slope to be -2
Slope m = -2
Step 2: substitute m into point slope form
y - y_1 = m( x - x_1)
y - y_1 = -2 ( x - x _1)
Step 3: substitute the point into the equation
y - y_1 = -2( x - x _1)
( 4 , 7)
x_1 = 4
y_1 = 7
y - 7 = -2( x - 4)
We don't need to open the bracket because we are asked to write the equation in a point slope form
solution is (x, y ) → (- 1, 4 )
y + 2x = 2 → (1)
y + 4x = 0 → (2)
subtract equation (1) from (2) to eliminate term in y
(y - y ) + (4x - 2x ) = (0 - 2 )
2x = - 2 ( divide both sides by 2 )
x = - 1
substitute x = - 1 in either (1) or (2) and solve for y
(1) → y - 2 = 2 ( add 2 to both sides )
y = 4
solution is (x, y ) → (- 1, 4 )
Find the dimensions of the rectangular prism
I believe it would be -17 degrees per minute
