A line that includes the point (1, 3) has a slope of -7. What is its equation in slope-intercept
form?
Write your answer using integers, proper fractions, and improper fractions in simplest form.

y = -7x + 10

Step-by-step explanation:

Using a point slope form equation

y - y1 = m( x - x1)

Given

Point = ( 1 , 3)

Slope = -7

Insert the values into

y - y1 = m(x - x1)

x1 = 1

y1 = 3

y - 3 = m( x - 1)

m = -7

y - 3 = -7(x - 1)

Using a slope intercept form equation

y = mx + c

Open the bracket

y - 3 = -7x + 7

y = -7x + 7 + 3

y = -7x + 10

The equation of the line is

y = -7x + 10

d. bc = 12 and ef = 16

step-by-step explanation:

we are given that δabc : δdef such that .

also, it is given that

so, from the options, we need that .

a.

b.

c.  

d.

as, we can see that only option d gives the same ratio as i.e. .

hence, the possible lengths are bc = 12 and ef = 16.