Answer <u>(assuming it is allowed to be in point-slope format)</u>:

Step-by-step explanation:
1) First, determine the slope. We know it has to be perpendicular to the given equation,
. That equation is already in slope-intercept form, or y = mx + b format, in which m represents the slope. Since
is in place of the m in the equation, that must be the slope of the given line.
Slopes that are perpendicular are opposite reciprocals of each other (they have different signs, and the denominators and numerators switch places). Thus, the slope of the new line must be
.
2) Now, use the point-slope formula,
to write the new equation with the given information. Substitute
,
, and
for real values.
The
represents the slope, so substitute
in its place. The
and
represent the x and y values of a point the line intersects. Since the point crosses (1,4), substitute 1 for
and 4 for
. This gives the following equation and answer:

to find the hypotenuse (or the ramp in question 4) you can use the equation

with a and b being the 3 feet and 9 feet and c being the unknown (ramp).
So if you plug 3 and 9 into the equation, it looks like this.

then square them.

simplify.

take the square root of both sides.

is approx. 9.5 so the answer would be H.
Answer:
all congruent
Step-by-step explanation:
Answer: y=-x+8
Step-by-step explanation:
Answer:
y + 9 = - 10(x - 1)
Step-by-step explanation:
The equation of a line in point- slope form is
y - b = m(x - a)
where m is the slope and (a, b) a point on the line
Calculate m using the slope formula
m = (y₂ - y₁ ) / (x₂ - x₁ )
with (x₁, y₁ ) = (1, - 9) and (x₂, y₂ ) = (- 10, 101)
m =
=
= - 10
Using (a, b) = (1, - 9), then
y - (- 9) = - 10(x - 1), that is
y + 9 = - 10(x - 1)