2 Answers

Andrey Kite Gorin · Answer 1 · 2021-02-03T23:31:08+0000

Answer:

y = -2x + 3

Explanation:

The equation of a line passing through points (x1,y1) and (x2,y2) can be found as follows:

$\displaystyle y-y_1=(y_2-y_1)/(x_2-x_1)(x-x_1)$

The table shows three points (-1,5) (-4,11) (-7,17). We only need two of them to make a line. Let's use the two first points:

$\displaystyle y-5=(11-5)/(-4+1)(x+1)$

$\displaystyle y-5=(6)/(-3)(x+1)$

$\displaystyle y-5=-2(x+1)=-2x-2$

Solving for y:

y = -2x + 3

To verify, we substitute the last point (-7,17)

17=-2(-7)+3=14+3=17

The equality verifies, thus the equation of the line is

y = -2x + 3

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