Whats the power point equation it 86.4

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Ответ:

aderahd7352

01.04.2023

Mathematics

y = x + 1 .

Step-by-step explanation:

Start by finding the slope of this line.

If a slanting line goes through $(x_{0},\, y_{0})$ and $(x_{1},\, y_{1})$ , where $x_{0} \ne x_{1}$ , the slope of this line would be:

$\begin{aligned}m &= \frac{y_{1} - y_{0}}{x_{1} - x_{0}}\end{aligned}$ .

The line in this question goes through $(5,\, 6)$ and $(3,\, 4)$ . Hence, the slope of this line would be:

$\begin{aligned}m &= \frac{y_{1} - y_{0}}{x_{1} - x_{0}} \\ &= \frac{6 - 4}{5 - 3} \\ &= 1\end{aligned}$ .

If a slanting line with a slope of and goes through the point $(x_{0},\, y_{0})$ , the equation of this line in the point-slope form would be:

$y - y_{0} = m,\, (x - x_{0})$ .

For the line in this question, the slope is m = 1 . Take $(5,\, 6)$ as the chosen point on this line. The point-slope form equation of this line would be:

y - 6 = (x - 5) .

Rewrite to obtain the equation of this line in the slope-intercept form:

y = x + 1 .

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