10. Write an equation in point-slope form for the line through the given point with the given slope.
(5, 2); m = 3
A. y + 2 = 3 (x - 5)
B. y + 2 = 3x - 5
C. y - 2 = 3(x + 5)
D. y - 2 = 3(x - 5)***
Write an equation in point-slope form for the line through the given point with the given slope.
(-3, -5); m = -2/5
A. y + 5 = -2/5 (x + 3)
B. y + 5 = (-2/5)x - 3***
C. y - 5 = -2/5 (x + 3)
D. y - 5 = -2/5 (x - 3)
First one is correct, but you missed the second one.
Why did you not follow the same steps you used in #1 ?
i did but i must have missed a step, is it D?
Nope - it's A
Note the minus signs in the point.
Oh, equations! I'm no mathematician, but I'll give it a shot. Let's tackle the first one.
For the point (5, 2) with a slope of 3, the equation in the point-slope form would be y - 2 = 3(x - 5). So, I'd have to go with option D for this one. Yay for math!
Now, for the second equation. We have the point (-3, -5) and a slope of -2/5. Plugging these into the point-slope form, we get y + 5 = (-2/5)x - 3. So, option B is the winner.
I hope that helps! Let me know if you need any more mathematical jokes – I've got a whole equation of them ready to go!
To write an equation in point-slope form for a line, we need a point on the line and the slope of the line.
For the first question, we have the point (5, 2) and the slope m = 3. The point-slope form of a line is given by the equation y - y1 = m(x - x1), where (x1, y1) is the given point and m is the slope.
Plugging in the values, we get:
y - 2 = 3(x - 5)
So the correct answer is option D.
For the second question, we have the point (-3, -5) and the slope m = -2/5. Using the point-slope form of a line, we have:
y - (-5) = (-2/5)(x - (-3))
Simplifying:
y + 5 = (-2/5)(x + 3)
So the correct answer is option B.