Question

{HELP ASAP }WILL GIVE 50+ POINTS AND BRAINLIEST

Answer 1

Answer:

y = - x + 6

Step-by-step explanation:

$point \: slope: y - y_{1} = m(x - x_{1})$

as y is the y coordinate of the final point , y1 is the y coordinate of the initial point, m is the slope or gradient of the line, x is the x coordinate of the final point, and x1 is the x coordinate of the initial point.

given (-1,7) and (2,4). 7 = y1, 4 = y, -1 = x1, 2 = x.

when substituted into the equation the unknown variable is the slope which we are solving for.

y-y1=m(x-x1) ; y = 4, y1 = 7, x = 2, x1 = -1

(given)

4-7 = m(2--1)

(substitution property of equality)

-3 = m(2--1)

(subtraction property of equality)

-3 = m(3)

(subtraction property of equality)

-3 = 3m

(multiplication property)

-1 = m.

(division property of equality)

m = -1

(symmetric property of equality)

_____________________________

once m is solved you just need the initial values to solve for the actual equation.

y - y1 = m (x - x1) ; y1 = 7, m = -1, x1 = -1

(given)

y - 7 = -1 (x - -1)

(substitution property of equality)

y - 7 = -1 (x + 1)

(subtraction property if equality)

y - 7 = -x - 1

(distributive property of equality)

y = -x - 1 + 7

(addition property of equality)

y = -x + 6

(addition property of equality)