Complete the equation of the line through (-8,8)(−8,8)left parenthesis, minus, 8, comma, 8, right parenthesis and (1,-10)(1,−10)left parenthesis, 1, comma, minus, 10, right pare…

Question

asked Apr 10, 2021 7.3k views

1 Answer

Tshoemake · Answer 1 · 2021-04-14T14:01:49+0000

Answer:

$y = -2x - 8\\OR\\2x+y+8=0$

Explanation:

Given that there are 2 points

A(-8,8) and

B(1,-10)

So, the coordinates are:

$x_2 = 1\\x_1 = -8\\y_2 = -10\\y_1 = 8$

Equation of a line is given as:

y =mx+c

where 'm' is the slope of the line, formula for 'm' is given as:

m=(y_2-y_1)/(x_2-x_1)

(x,y) are the points that satisfy the equation of the line.

is the
y - intercept.

Calculating the value of m using the given coordinates:

$m=(-10-8)/(1-(-8))\\\Rightarrow m=(-18)/(9) = -2$

So, the equation of line becomes:

y =-2x+c

Now, putting the coordinates of point
A(-8,8)

$8 =-2* (-8)+c\\\Rightarrow 8 = 16+c\\\Rightarrow c = -8$

Please refer to the graph of given equation of line.

The equation of line is:

$y =-2x+-8\\OR\\2x+y+8=0$