Question

Write the equation and graph the line with a slope of -3 and passes though point (4, -5)

Answer 1

y+5=-3(x-4)
y=-3x+7
y-intercept= 7
slope= -3

Answer 2

y = - 3x + 7

Explanation:

the equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

here m = - 3 , then

y = - 3x + c ← is the partial equation

to find c substitute (4, - 5 ) into the partial equation

- 5 = - 3(4) + c = - 12 + c ( add 12 to both sides )

7 = c

y = - 3x + 7 ← equation of line