To solve this problem, we must first remember that slope-intercept form is y=mx + b, where the variable m represents the slope of the line and the variable b represents the y-intercept of the equation.
To begin, we can take this form and substitute in the slope for the variable m.
y = mx + b
y = 4x + b
Next, because we weren't given the y-intercept, we can find it by substituting the value of 6 for x and the value of -1 for y (these values came from the ordered pair that we were given in this problem).
-1 = 4(6) + b
After that, we can begin to simplify and solve for the variable b by computing the multiplication on the right side of the equation.
-1 = 24 + b
Next, we should subtract 24 from the right side of the equation in order to get the variable b alone.
-25 = b
Now, if we substitute in this value for the variable b in our equation with the slope, we get:
y = 4x - 25
Therefore, your answer is y = 4x - 25.
Hope this helps!