Question

Indicate in standard form the equation of the line passing through the given point and having the given slope.A(5, 5), m = 3

Answer 1

Start with point slope form

y - y1 = m(x - x1)

plug in the given slope to get

y - y1 = 3(x - x1)

then plug in the given point to get

y - 5 = 3(x - 5)

Answer 2

from here, you need to write the equation in Ax+By = C form

y - 5 = 3(x - 5)

y - 5 = 3x - 3*5 ... distribute

y - 5 = 3x - 15 ... multiply

y - 5 - 3x = -15 ... Subtract 3x from both sides.

y - 3x = -15+5 ... Add 5 to both sides.

y - 3x = -10 ... Combine like terms.

-3x + y = -10 ... rearrange terms

3x - y = 10 ... multiply every term by -1 to change the sign of the x term