Answer:
x=4.5 y=18.75
Step-by-step explanation:
solve using pythagorean theorem :
hypothenus²=opposite²+adjacent²
for y:
y²=15²+11.25²
y²=225+126.5625
y²=351.5625
y=18.75
for x:
7.5²=6²+x²
x²=7.5²-6²
x²= 56.25-36
x²=20.25
x=4.5
An equation of a line parallel to y=x-6, must have the same slope.
In this equation:
y=mx+b (slope-intercept form)
m is the slope:
The slope of the equation y=x-6 is m=1 (the number beside "x").
Now we have a point (-1,5) and the slope m=1.
Point-slope form of a line:
y-y₀=m(x-x₀)
so:
y-5=1(x+1)
answer: the equation of the line in point-slope form is :
y-5=1(x+1)
And the eqution of this line in slope-intercept form is:
y=x+6
y-5=(x+1)
y=x+1+5
y=x+6
Answer: -14
Step-by-step explanation: 3-17= -14
17+(-14)=3