The slope m = -3, and the point is (0,-9).
Step-by-step explanation:
The equation of a line in slope-intercept form is given as
y = mx + b
where m represents the slope and
b represents the y-intercept.
⇒ y + 3 = − 3( x + 2)
subtract 3 from both sides.
⇒ y = - 3 x - 9
⇒ m = - 3 and the b = - 9
Hence slope is -3 and y-intercept is -9
y-intercept = - 9 which is the coordinate point (0 ,-9)
To obtain any coordinate point on the line, select values for x and substitute them into the equation for corresponding value of y.
x = -2 ⇒ y = -3 [tex]\times[/tex] -2 - 9
y = 6 - 9 = -3
Hence the another point on the line is (-2,-3)
