write an equation in point slope form for the line through the given point with the given slope

(8,3); m=5

A.) y + 3 = 5 (x - 8)
B.) y + 3 = 5x - 8
C.) y - 3 = 5 (x - 8)
D.) y - 3 = 5 (x + 8)

Point Slope Form Answers:

1. B.
2. A.
3. C.
4. A.
5. B.

(8, 3), (x, y), m = 5.

m = (y-3)/(x-8) = 5.
cross-multiply:
y-3 = 5(x-8).

pepe

Zinact is correct 💯

Yes, of course

Memorize that formula

Enter an equation in point-slope form of the line having the given slope that contains the given point.

slope = −12 contains U(2,−2)

GMSR_M03_L10_103A-72dpi.png

To write an equation in point-slope form for a line, you need the coordinates of a point on the line and the slope of the line.

In this case, the given point is (8, 3) and the slope is 5.

The point-slope form of a line is y - y₁ = m(x - x₁), where (x₁, y₁) are the coordinates of the given point and m is the slope.

Substituting the values into the formula, we get:

y - 3 = 5(x - 8)

So, the correct equation in point-slope form for the line through the given point with the given slope is:

C.) y - 3 = 5(x - 8)

for any given point (a,b) and slope m, the equation is

y - b = m(x - a)

which of the choices matches that pattern?

Thank you