Question

Write the point-slope form of an equation for a line that passes through the point with the given slope (–6, –6), slope = -4/7

a.
y – 6 = -4/7(x + 6)
c.
y + 6 =-4/7(x + 6)
b.
y + 6 = -4/7(x – 6)
d.
y + 6 = -4/7(x + 6)

Answer 1

see explanation

Explanation:

The equation of a line in point- slope form is

y - b = m(x - a)

where m is the slope and (a, b) a point on the line

here m = -
`(4)/(7)` and (a, b) = (- 6, - 6), hence

y - (- 6) = -
`(4)/(7)` (x - (- 6) ), that is

y + 6 = -
`(4)/(7)`(x + 6) ← c or d

Answer 2

y + 6 = -4/7(x + 6)

Explanation:

The point-slope form of an equation for a line that passes through a point

( a, b )with a slope m is given as;

`y-a=m(x-b)`

we substitute the given values into the given equation above and simplify. Our point is given as (–6, –6) while the slope is -4/7;

`y-(-6)=-(4)/(7)(x-(-6))\\\\y+6=-(4)/(7)(x+6)`