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

Answer 1

Answer:

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

Step-by-step 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;

$y-(-6)=-\frac{4}{7}(x-(-6))\\\\y+6=-\frac{4}{7}(x+6)$

Answer 2

Answer:

see explanation

Step-by-step 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 = - $\frac{4}{7}$ and (a, b) = (- 6, - 6), hence

y - (- 6) = - $\frac{4}{7}$ (x - (- 6) ), that is

y + 6 = - $\frac{4}{7}$(x + 6) ← c or d