Answer:
y - 32 = 4(x - 4)
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
y - 1 = 4(x + 3) ← is in point- slope form
with slope m = 4
Parallel lines have equal slopes.
Using m = 4 and (a, b) = (4, 32), then
y - 32 = 4(x - 4) ← equation of parallel line
4. 70
5. 80
6. 151
7. 73
8. 741
9. 7,739
or you can use the calculator next time
The direction vector of the line
L: x=1+t, y=4t, z=2-3t
is <1,4,-3>
which is also the required normal vector of the plane.
Since the plane passes through point (-5,9,10), the required plane is :
Π 1(x-(-5)+4(y-9)-3(z-10)=0
=>
Π x+4y-3z=1
<span><span><span><span><span><span>x</span><span>=</span><span>2</span><span>(</span><span>y</span><span>+</span><span>3</span><span>)</span></span></span></span></span></span><span>x=<span><span>9</span><span><span>2(y−37)</span></span><span></span>
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