Use point-slope form to write the equation of a line that has a slope of 23 and passes through (-3, -1). Write your final equation in slope-intercept form.
The point-slope form of a linear equation is given by: y - y1 = m(x - x1), where m is the slope, and (x1, y1) is a point on the line.
In this case, the slope (m) is 23 and the point (x1, y1) is (-3, -1). Substituting these values into the point-slope form, we get:
y - (-1) = 23(x - (-3))
y + 1 = 23(x + 3)
Now, let's simplify this equation to slope-intercept form (y = mx + b):
y + 1 = 23x + 69 (distributing 23 to x and 3 to 69)
y = 23x + 68 (subtracting 1 from both sides)
The equation of the line in slope-intercept form is: y = 23x + 68.