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nlexa [21]
3 years ago
12

Help me plz? I have no clue how

Mathematics
1 answer:
a_sh-v [17]3 years ago
5 0
Take 2 points
(3, 9) and (0, 3)
Slope = (Y2 -Y1) ÷ (X2 -X1)
<span>Slope = (3-9) / (0-3)
</span><span>Slope = -6 / -3
</span><span>Slope = 2

The equation will have the form    </span><span>y = mx + b</span>
We can rearrange this to   b = y -mx
Let's take one of the points (3, 9) and the slope (m) and enter it into the formula:
b = -9 -2*3
b= -3
Now we enter all that data into b = y -mx
and get
y = 2x -3


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The equation in slope-intercept form of the line passing through the given points is: C. y = \frac{9}{13}x + 7

<u>Given the following points:</u>

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To find the equation in slope-intercept form of the line passing through the given points:

Mathematically, the equation of slope is calculated by using this:

Slope. \;m = \frac{Change \; in \; y \;axis}{Change \; in \; x \;axis} \\\\Slope. \;m = \frac{y_2 - y_1}{x_2 - x_1}

Substituting the given points, we have:

Slope. \;m  = \frac{34 - [-11]}{39 - (-26)}\\\\Slope. \;m  = \frac{34\; + \;11}{39 \;+ \; 26}\\\\Slope. \;m  = \frac{45}{65}\\\\Slope. \;m  = \frac{9}{13}

The standard form of an equation of line is given by the formula;

y = mx + b

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We would find the intercept:

-11 = \frac{9}{13}(-26) + b\\\\ -11 = -18 + b\\\\b = -11 + 18

Intercept, b = 7

The equation in slope-intercept form of the line is:

y = \frac{9}{13}x + 7

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