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Aleks04 [339]
2 years ago
8

Exact answer please.

Mathematics
1 answer:
bezimeni [28]2 years ago
7 0

Answer:

d ≥ - 21

Step-by-step explanation:

\frac{6-d}{9} ≤ 3 ( multiply both sides by 9 to clear the fraction )

6 - d ≤ 27 ( subtract 6 from both sides )

- d ≤ 21

multiply both sides by - 1, reversing the symbol as a result of multiplying by a negative quantity.

d ≥ - 21

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brooke found the equation of the line passing through the points (-7,25) and (-4,13) in slope-intercept form as follows​
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Answer:

The equation of the line passing through the points (-7,25) and (-4,13) in slope-intercept form is \mathbf{y=-4x-3}

Step-by-step explanation:

Equation of line passing through the points (-7,25) and (-4,13) in slope-intercept form.

The general equation of slope-intercept form is: y=mx+b

First we need to find slope

The formula used for finding slope is: Slope=\frac{y_2-y_1}{x_2-x_1}

We are given: x_1=-7, y_1=25, x_2=-4, y_2=13

Putting values in formula and finding slope

Slope=\frac{y_2-y_1}{x_2-x_1}\\Slope=\frac{13-25}{-4-(-7)}\\Slope=\frac{13-25}{-4+7}\\Slope=\frac{-12}{3}\\Slope=-4

So, slope m= -4

Now finding y-intercept

Using slope m=-4 and point (-7,25) we can find y-intercept

y=mx+b\\25=-4(-7)+b\\25=28+b\\b=25-28\\b=-3

So, y-intercept b =-3

Now, the equation of required line having slope m=-4 and  y-intercept b=-3 is:

y=mx+b\\y=-4x-3

So, the equation of the line passing through the points (-7,25) and (-4,13) in slope-intercept form is \mathbf{y=-4x-3}

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