Answer
The standard form of the equation of the straight line is
y = -2x - 2
Step-by-step explanation
The standard form of the equation of a straight line is
y = mx + c
where
y = y coordinate of any point on the line
m = slope of the line
x = corresponding x coordinate of the point on the line whose y coordinate is y.
c = y-intercept of the line
The question gives us the coordinates of a point on the line; (-3, 4) and the slope of the line; m = -2
Noting that the coordinates of points are written as (x, y), x = -3 and y = 4
We then substitute these into the standard equation of a straight line
y = mx + c
4 = (-2 × -3) + c
4 = 6 + c
6 + c = 4
c = 4 - 6
c = -2
So, since we have the values of m and c, we can write the general standard form for this line
y = mx + c
m = -2, c = -2
y = -2x - 2
Hope this Helps!!!