Write an equation in point-slope form for the line through the given point and with the given slope m , ( 2,-2) ; m = -1/2

y+2 = -1/2 (x-2)

Step-by-step explanation:

point slope form

y-y1 = m(x-x1)

y--2 = -1/2 (x-2)

y+2 = -1/2 (x-2)

y = -(1/2)x - 1

Step-by-step explanation:

Slope = -1/2

The general equation is

y - y1 = m(x - x1)     m is given to you as m = - 1/2  so

y - y1  = (-1/2) ( x - x1)    is what you know so far.

Givens

x1 = 2      

y1 = - 2

Solution

y - y1 = m(x - x1)

y - -2 = -1/2(x - 2)

y + 2 = -1/2(x - 2)

c. 65°

step-by-step explanation:

we are given a triangle with two known angles, 62° and 53°, while the third angle x is unknown and we are to find its value.

we know that the sum of angles in a triangle is equal to a total of 180 degrees. so we can write it as:

x + 62° + 53° = 180°

solving to find the value of x:

x = 180 - (62 + 53) = 65°

therefore, the value of x in this triangle is 65°.

20

step-by-step explanation: