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3 years ago

Equation of line through (-3,7) with slope of 4 is?

Mathematics

1 answer:

Kay [80]3 years ago

6 0

Answer & Step-by-step explanation:

First, we know what the formula is for y-intercept slope form.

$y=mx+b$

Since, we have coordinate points and the slope, then we can use these numbers to find the y-intercept, <em>b</em>.

$7=4(-3)+b$

$7=-12+b$

$19=b$

So, the equation of the line that passes through (-3, 7) with a slope of 4 is..

y = 4x + 19

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Can you pls help me?

GREYUIT [131]

Answer:

B. 24 is 4 times as many as 6

Step-by-step explanation:

6 x 4 = 24

Additionally, the model shows 4 groups of 6 being equal to 24.

Therefor, 24 is 4 times as many as 6.

Please mark as brainliest ;)

4 0

2 years ago

Read 2 more answers

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saul85 [17]

1.5 hopes this helps

8 0

2 years ago

Read 2 more answers

Write an equation for a line that is parallel to y + 5 = 3(x - 1) and goes through the point (3,-4)

MrRa [10]

Answer:

The equation for a line that is parallel to y + 5 = 3(x - 1) and goes through the point (3,-4) will be:

y = 3x-13

Step-by-step explanation:

Given the equation

y + 5 = 3(x - 1)

Writing in the slope-intercept form

y=mx+b

where m is the slope and b is the y-intercept

y = 3(x-1) -5

y = 3x-3-5

y = 3x - 8

Thus, the slope = m = 3

We know that the parallel lines have equal slopes.

So, the slope of a parallel line is also 3

Using the point-slope form of the line equation

$y-y_1=m\left(x-x_1\right)$

substituting the values m = 3 and the point (3, -4)

y-(-4)=3(x-3)

y+4 = 3x-9

y = 3x-9-4

y = 3x-13

Thus, the equation for a line that is parallel to y + 5 = 3(x - 1) and goes through the point (3,-4) will be:

y = 3x-13

5 0

3 years ago

Determine if triangle ABC with coordinates A (0, 2), B (2, 5), and C (−1, 7) is an isosceles triangle. Use evidence to support y

kirill115 [55]

Answer:

The triangle ABC is an isosceles right triangle

Step-by-step explanation:

we have

The coordinates of triangle ABC are

A (0, 2), B (2, 5), and C (−1, 7)

we know that

An isosceles triangle has two equal sides and two equal internal angles

The formula to calculate the distance between two points is equal to

$d=\sqrt{(y2-y1)^{2}+(x2-x1)^{2}}$

step 1

Find the distance AB

substitute in the formula

$d=\sqrt{(5-2)^{2}+(2-0)^{2}}$

$d=\sqrt{(3)^{2}+(2)^{2}}$

$dAB=\sqrt{13}\ units$

step 2

Find the distance BC

substitute in the formula

$d=\sqrt{(7-5)^{2}+(-1-2)^{2}}$

$d=\sqrt{(2)^{2}+(-3)^{2}}$

$dBC=\sqrt{13}\ units$

step 3

Find the distance AC

substitute in the formula

$d=\sqrt{(7-2)^{2}+(-1-0)^{2}}$

$d=\sqrt{(5)^{2}+(-1)^{2}}$

$dAC=\sqrt{26}\ units$

step 4

Compare the length sides

$dAB=\sqrt{13}\ units$

$dBC=\sqrt{13}\ units$

$dAC=\sqrt{26}\ units$

$dAB=dBC$

therefore

Is an isosceles triangle

Applying the Pythagoras Theorem

$(AC)^{2} =(AB)^{2}+(BC)^{2}$

substitute

$(\sqrt{26})^{2} =(\sqrt{13})^{2}+(\sqrt{13})^{2}$

$26=13+13$

$26=26$ -----> is true

therefore

Is an isosceles right triangle

8 0

3 years ago

Divide 3 and 1/6 /(-9)

ra1l [238]

If you would like to divide 3 and 1/6/(-9), you can do it using the following steps:

3 / 1/6/(-9) = 3/1 / 1/6/(-9) = 3/1 * (-9)/1/6 = -27 / 1/6 = -27 * 6 = -162

The result you get is -162.

8 0

3 years ago