What is the of the line with the following equation (y-3)= -4(x-5)

Step-by-step explanation:

x=-\frac{y-3}{4}+5

y=-4x+23

Step-by-step explanation:

First express in the form of y=mx+b...equation of a line

y-3= -4(x-5)

y-3= -4x+20... distributing -4

y=-4x+20+3...collecting like terms

y=-4x+23

infinitely many solutions

step-by-step explanation:

we have been given the equation;

2(2x + 3) = -4 + 2(2x + 5)

we need to determine the value of x.

2(2x + 3), we expand this expression to obtain 4x + 6

similarly 2(2x + 5) will become 4x + 10

now we have;

4x + 6 = -4 + 4x + 10

4x + 6 = 4x + 10 - 4

4x + 6 = 4x + 6

the expression on the left hand side is identical to the one on the right hand side. therefore, we are looking at just a single straight line whose equation is;

y = 4x + 6

consequently, we shall have infinitely many solutions

2

step-by-step explanation: