(2,-3), slope = 4
What is the answer

We are given:

The line passes through (2,-3)

Slope of the line = 4

Finding the equation of the line:

We know that the general form of the slope-intercept form is:

y = mx + b         [where m is the slope and b is the y-intercept]

y = 4x + b          [since slope = 4]

Finding the y-intercept:

Now, we are given that the line passes through the points: (2,-3)

which can be written as: x = 2 and y = -3

Since the line passes through these points, these values must satisfy the equation

So,

y = 4x + b

-3 = 2(4) + b

-3 = 8 + b

b = -11                [subtracting 8 from both sides]

Hence, the y-intercept is -11

Equation of the line:

We wrote the equation of the line as:

y = 4x + b          (where b is the y-intercept)

now that we know the value of b,

y = 4x - 11

Therefore, the equation of the line is: y = 4x - 11