3 years ago

Whats the step to find the answer

Mathematics

1 answer:

bulgar [2K]3 years ago

6 0

21 × 10 = 210
210 ÷ 55 = 3.82
3.82 ÷ 10 =0.382

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The equation in slope intercept form is $y=-\frac{3}{2} x-3$

Explanation:

The given pair of points are $(2,-6)$ and $(-4,3)$

The slope can be determined using the formula,

$m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}$

Substituting the points $(2,-6)$ and $(-4,3)$ in the slope formula, we have,

$m=\frac{3+6}{-4-2}$

$m=\frac{9}{-6}$

$m=-\frac{3}{2}$

The equation in slope intercept form can be determined using the formula,

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

Substituting $m=-\frac{3}{2}$ and the point $(2,-6)$ in the above formula, we get,

$y+6=-\frac{3}{2} (x-2)$

$y+6=-\frac{3}{2} x+3$

$y=-\frac{3}{2} x+3-6$

$y=-\frac{3}{2} x-3$

Thus, the equation in slope intercept form is $y=-\frac{3}{2} x-3$

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