Question

Type the correct answer in each box.Use numerals instead of words. If necessary, use / for the fraction bar.

Answer 1

Answer:

y intercept is 1  1/3

equation is y = -1/6x + 4/3

x coordinate is -70  (-70,13)

Step-by-step explanation:

find M

m = 1 - (-1)/ 2 -1 4

m = -2/12 = -1/6

Find y intercept--Plug m and one point from above into y = mx + b

1 = - 1/6 (2) + b

1 = -2/6 + b

1  2/6 = b

1  1/3 = b

4/3 = b

To find the x coordinate if y is 13

13 = -1/6 x + 4/3

11 2/3 = -1/6 x

-70 = x

Answer 2

Answer:

The y intercept of line AB = $(0,\dfrac{4}{3})$

The equation of line AB will be

$y=\dfrac{-1}{6}x+\dfrac{4}{3}$

The x-coordinate of C = 4

Step-by-step explanation:

The slope of line AB with coordinates of A and B are (14, -1) and (2, 1)

$m_1=\dfrac{1-(-1)}{2-14}=\dfrac{2}{-12}=\dfrac{1}{-6}$

The equation of line AB will be

$(y-1)=\dfrac{1}{-6}(x-2)\\\\\Rightarrow y=\dfrac{1}{-6}(x-2)+1\\\\\Rightarrow\ y=\dfrac{-1}{6}x+\dfrac{1}{3}+1\\\\\Rightarrow y=\dfrac{-1}{6}x+\dfrac{4}{3}$

Put x=0, we get the $y=\dfrac{4}{3}$ i.e. $(0,\dfrac{4}{3})$ is the y intercept of line AB.

Since, Line AB and Line BC form a right angle at their point of intersection, B. The the product of their slope must be -1.

Therefore, the slope of BC =$m_2=\dfrac{-1}{m_1}=6$

Let x coordinate of C be a,then the coordinates of C = (a,13)

Now, slope of BC with points B(2,1) and C(a,13) will be

$\dfrac{13-1}{a-2}=6\\\\\Rightarrow\ a-2=\dfrac{12}{6}\\\\\Rightarrow\ a-1=2\\\\\Rightarrow\ a=4$

Hence, the x-coordinate of C = 4