Graph the relation 8 — 10х — Зх2 y 2 — Зх - | from x = -3 to x = +3. Is the plotted curve a straight line?

Q: Determine the slope of the curve y = x² + 2x at the point (-1, -3) on the curve.

A: We have to determine the slope of the given curve at the point .

Q: Where is the line y=5-2x closest to the origin. Use optimization

A: Identify the point (x0, y0) on the line y=5-2x that is closet to the origin.

Q: Find the slope of the line through the points (9,4) and (10,6) m=?

A: Since the slope of the line passing through two points (x1,y1) and (x2,y2) m=y2-y1x2-x1

Q: Determine the vertex of the function y=-2x2- 20x-51 O A) (2, -51) O B) (-5, -1) O C) (-2, -51) O D)…

A: Option (B) is correct.

Q: For the equation y= x^2-9/x^2+2 find the intercepts and test for symmetry.

A: First we will find the intercept of the given equation on x-axis that means we will put y=0 in the…

Q: Graph a horizontal line going through the point (5, 2).

A:

Q: Find the midpoint of the line segment joining the points P1 and P2;P1 = (2, - 3); P2 = (4, 2)

A: Our Aim is to find the midpoint of the line-segment joining the points P1=(2,-3) and P2=(4,2).

Q: Write an equation for the line through the point (-1, 2) that is (a) parallel, and (b) perpendicular…

A:

Q: Sketch a graph showing the line for the equation Y=2X-1. On the same graph (in a different color),…

A: Given: The line equation is Y: 2X – 1 and Y: - X + 8.

Q: Reduce the line 2x-3y+5=0 in slope intercept,intercept,and normal forms.

A: Equation of the given line is given as       2x - 3y + 5 = 0   . . . . . . . . (1)      => 3y =…