Homework - coordinate geometry

[trim verge]

Not sure what to do for 2ii 😔

[magic cobalt]

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[white path]

1. What’s the slope of the line y + 3x = 9 (hint: It’s not three)
2. What is the derivative of x^2 - 4x + 7
   Now note that derivative = slope of tangent line and two lines with same slope are parallel
3. What x value does that derivative from question 2 equal the slope from question 1

[trim verge]

derivative as in dy/dx ?

[white path]

Yea dy/dx

[trim verge]

1. -3
2. 2x-4
3. idk what u mean

ohhh wait

i think i get it

i used the x coordinate from part i which was 1/2 and then sub it into the 2x-4 which got me to -2 and thats my x coordinate

then sub in the -2 into the y=-3+9 to find my y coordinate

so my final answer is (-2,3)

[white path]

No you want when the derivative (2x - 4) equals the slope (-3)

[trim verge]

ah

alr

@white path would it be (1/2, 7.5)

🤔

[white path]

You’re plugging the 1/2 into the quadratic as point Q is on the quadratic curve

[trim verge]

yeah

ok thanks

[trim verge]

so would it be (1/2, 5 1/4)

🤔