The question requires you to write an equation of a line in point slope form.
The point given is: (-1, 2)
The slope , m is : 5
The general form of an equation in point-slope form is;
y-y1 = m (x-x1) where
m= slope = 5
y1= 2
x1 = -1
The equation in point-slope form will be;
y-2 = 5 (x+1)
Converting the equation to slope - intercept form will be;
Write the equation in the form of y= mx + b where
m= slope and b is the y-intercept
y-2= 5(x+1) --------open brackets by multiplication
y-2 =5x + 5 -------collect the like terms
y= 5x + 5 + 2
y= 5x +7 ----------equation in slope-intercept form
