Answer:
Explanation:
First convert the equation 6x - 5y = 4 into intercept form: y = mx + b
6x - 5y = 4
Subtract 6x
-6x + 6x - 5y = 4 - 6x
-5y = - 6x + 4
Divide but -5
-5y/-5 = -6x/-5 + 4/-5
y = 6/5x - 4/5
The slope or m is 6/5
To create a parallel line the equation has to have the same slope, so now we solve for b using the point (4, -7)
-7 = 6/5(4) + b
Multiply
-7 = 24/5 + b
Subtract
-24/5 + -7 = 24/5 + b -24/5
b = -59/5
Set up the problem
y = 6/5x - 59/5
The answer is:
y = 6/5x - 59/5