Write the point slope form of the equation of the line through the given points: (-4,-1) and (-3,1)


PLEASE EXPLAIN. STEP BY STEP INSTRUCTIONS

Write the point slope form of the equation of the line through the given points 41 and 31 PLEASE EXPLAIN STEP BY STEP INSTRUCTIONS class=

Respuesta :

Step-by-step explanation:

the general point-slope form is

y - y1 = m(x - x1)

with (x1, y1) being a point on the line, and m being the slope (the incline of the line).

we have the point. we can pick one from the 2 choices, I typical go for the one with smaller values. so, I will use (-3, 1).

now we need to calculate the slope.

the slope is the ratio "y coordinate change / x coordinate change" when going from one point on the line to another.

so, for our 2 points we see

x changes by +1 (from -4 to -3).

y changes by +2 (from -1 to +1).

and the slope is +2/+1 = 2

therefore our equation is

y - 1 = 2(x - -3)

or simplified

y - 1 = 2(x + 3)