Write an equation of the line passing through the given points
(5,-17) and (8, -29)

Answers:

y + 29 = -4(x - 8)

y = -4x + 3

4x + y = 3

Step-by-step explanation:

First you need to find the slope

m = (-29 -(-17))/(8 - 5) = (-12)/3 = -4

Now you need to plug it into point-slope form.  You can either point for this.

y - (-29) = -4(x - 8)

y + 29 = -4(x - 8) - an answer (You can simplify for slope-intercept)

y + 29 = -4x + 32

y = -4x + 32 - 29

y = -4x + 3 - an answer (You can simplify for standard form)

4x + y = 3 - an answer

answer: x

step-by-step explanation:

b. an equilateral triangle inscribed in a circle

step-by-step explanation:

we are given the figure of two circles having a triangle inside.

now, we know that,

"when a figure is lying inside an another figure, then the outside figure is known as circumscribed figure and the figure lying inside is referred to as the inscribed figure".

as we see that, the circles are containing the triangle completely.

thus, the circles are the circumscribed figures and the triangle is the inscribed figure.

hence, we get, 'an equilateral triangle is inscribed in a circle'.