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:
Option D. about
inches
Step-by-step explanation:
we know that
To find how long is the room in inches multiply the length of the shoe by the number of shoe lengths
so

therefore
the length of the room is about
inches
When x=-4:
2(-4)+3y=4
3y=4+8
3y=12
y=4
So the ordered pair is (-4,4), I think
Both triangles have the same dimensions so the scale factor is 1
Answer:
I have to go so I am not able to write all the answers but you can use the explanation. I tried my best. I hope this helps. Please mark me brainly!
Step-by-step explanation:
To write a perpendicular equation to this one, first, put the equation of the line given into slope-intercept form by solving for y. You get y = -2x +5, so the slope is –2. Perpendicular lines have opposite-reciprocal slopes, so the slope of the line we want to find is 1/2. Plugging in the point given into the equation y = 1/2x + b and solving for b, we get b = 6. I hope this helps. Please mark me brainly!