A line passes through the point (4, -3) and has a slope of -3. Write an equation in slope-intercept form for this line.​

y=-3x+9

explanation

m=-3 (X1,Y1) = (4,-3)

(y-y1)= m×(x-x1)

(y-(-3))=-3(x-4)

y+3= -3x+12

y=-3x+12-3

y=-3x+9

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

arrange the equations with like terms in columns.

analyze the coefficients of x or y.

add the equations and solve for the remaining variable.

substitute the value into either equation and solve.

check the solution.

step-by-step explanation: