The slope of a line perpendicular to another line has a
slope which is the negative reciprocal of that line or:
m1 = -1/m2
First, we convert the given equation into slope-intercept
form of a line: y = mx + b
8x + 15y = 12
15y = -8x + 12
y = (-8/15) x + 0.8
m1 = -8 / 15
Therefore the slope of the perpendicular line is:
m2 = 15 / 8
Since the perpendicular line crosses the point (11, 17), therefore
using the slope formula:
m = (y2 – y1) / (x2 – x1)
15 / 8 = (y2 – 17) / (x2 – 11)
1.875 (x2 – 11) = y2 – 17
1.875 x2 – 20.625 = y2 – 17
y2 = 1.875 x2 – 3.625
y = (15/8) x – 3.625
multiplying both sides by 8:
8y = 15x – 29
rewriting in standard form:
<span>15x – 8y = 29 (ANSWER)</span>
Answer:
Binomial; -2
Step-by-step explanation:
It's binomial because the y's are cancelled out
...idk what they mean by the degree of the polynomial, so I just solved it.
Answer:
y = x + 30
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Calculate m using the slope formula
m =
with (x₁, y₁ ) = (0, 30) and (x₂, y₂ ) = (70, 40) ← 2 points on the line
m = = =
The line crosses the y- axis at (0, 30) ⇒ c = 30
y = x + 30 ← equation of line
Answer:
Midsegment of a Triangle Theorem
Step-by-step explanation:
Midsegment of a Triangle Theorem can be used to fill in the missing reason.