Mathematics: Linear equation containing the points (10,2) and (-4,0)

what s the questionStep-by-step explanation:...

Linear equation containing the points (10,2)

heydisr

08.01.2022

$y=\frac{1}{7}x+\frac{4}{7}$

Step-by-step explanation:

First, let's define our points:

$(x_1,y_1)=(-4,0)$

$(x_2,y_2)=(10,2)$

Then, calculate the slope:

$$m=\frac{y_2-y_1}{x_2-x_1}$

$m=\frac{2-0}{10-(-4)}$

$m=\frac{2-0}{10+4}$

$m=\frac{2}{14}=\frac{1}{7}$

Finally, use the point-slope form:

$y-y_1=m(x-x_1)$

$y-0=\frac{1}{7}[x-(-4)]$

$y-0=\frac{1}{7}(x+4)$

$y=\frac{1}{7}x+\frac{4}{7}$

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