The equation of a straight line in slope intercept form is expressed as
y = mx + c
Where
m represents slope
c represents y intercept.
From the information given,
x = - 2, y = 7 and m = - 3
We would solve for c by substituting these values into the eqation. It becomes
7 = - 3 * - 2 + c
7 = 6 + c
c = 7 - 6
c = 1
Therefore, the equation in slope- intercept form for the line is
y = - 3x + 1