Question #05a7b

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Answer 1 · 2016-12-12T13:29:14

a = -2

Step 1) Give the point (-10, -6) and the slope of $2$ $2$ we can use the point-slope form to find the equation of the line:

$y - - 6 = 2 (x - - 10)$ $y - -6 = 2(x - - 10)$

$y + 6 = 2 (x + 10)$ $y + 6 = 2(x + 10)$

$y + 6 = 2 x + 20$ $y + 6 = 2x + 20$

$y + 6 - 6 = 2 x + 20 - 6$ $y + 6 - 6 = 2x + 20 - 6$

$y + 0 = 2 x + 14$ $y + 0 = 2x + 14$

$y = 2 x + 14$ $y = 2x + 14$

Step 2) Substitute $- 8$ $-8$ for $x$ $x$ into the equation to calculate $y$ $y$ which is the value of $a$ $a$ :

$y = (2 \times - 8) + 14$ $y = (2 xx -8) + 14$

$y = - 16 + 14$ $y = -16 + 14$

$y = - 2$ $y = -2$