Answer:
y = 0.1x - 4
Step-by-step explanation:
Given the following data;
Points on the x-axis (x1, x2) = (-3, 7)
Points on the y-axis (y1, y2) = (-7, -6)
First of all, we would find the slope;
Mathematically, slope is given by the formula;
Substituting into the equation, we have;
Slope = (-6 - (-7))/(7 - (-3))
Slope = (-6 + 7)/(7 + 3)
Slope = 1/10
Slope = 0.1
Next, we would write the equation using the formula;
y - y1 = m(x - x1)
y - (-7) = 0.1(x - (-3))
y + 7 = 0.1(x + 3)
y + 7 = 0.1x + 3
y = 0.1x + 3 - 7
y = 0.1x - 4
6x+5x-4=2x-8~~~First we simplify(add 6x and 5x)
11x-4=2x-8~~~Now add 4 to both sides
+4 +4
11x=2x-4~~~~Remove 2x from both sides now.
-2x -2x
9x=-4~~~~Now divide by 9x
÷9x ÷9x
x= -4/9
Use subsiution]
y=-3x+5
subsitute -3x+5 for y in second equation
5x-4(-3x+5)=-3
distribute
5x+12x-20=-3
add like terms
17x-20=-3
add 20 to both sides
17x=17
divide both sides by 17
x=1
now subsitute 1 for x
y=-3x+5
y=-3(1)+5
y=-3+5
y=2
x=1
y=2
Group x terms
(2x^2+8x)-12=0
undistribute 2
2(x^2+4x)-12=0
take 1/2 of 4 and square it, add negative and positive of it insde (2^2=4)
2(x^2+4x+4-4)-12=0
factor perfect square
2((x+2)^2-4)-12=0
distribute
2(x+2)^2-8-12=0
2(x+2)^2-20=0
add 20 to both sides
2(x+2)^2=20
divide both sides by 2
(x+2)^2=10
sqrt both sides, remember to take positive and negative root
x+2=+/-√10
minus 2 both sides
x=-2+√10 and -2-√10
