Answer:
Option A
y=-4/3x+7
Step-by-step explanation:
To solve this, we need to understand the various components of the equation of a straight line.
A straight line has the equation: y =mx + c
m is the slope and c is the intercept on the y-axis. If we can get these two components, we can figure out the equation for the new line.
Calculating the slope, m
To obtain the slope of the new line, we use the fact that it is perpendicular to the slope of the line y = 3/4x-2.
This means that
3/4 X m = -1
m = -4/3
To obtain the intercept, c
The intercept can be obtained by adding 3 to the y-component of (0, 4).
This will give (0, 7). Hence the intercept c will be 7.
Therefore, the equation of the line will be y = -4/3x+7. Option A
