Final answer:
The equation of the line in slope-intercept form is y = 23x - 26.
Step-by-step explanation:
The slope-intercept form of a linear equation is given by y = mx + b, where m is the slope and b is the y-intercept. In this case, the slope is 23 and we are given the point (1,-3). We can use the point-slope form of a linear equation, which is y - y1 = m(x - x1), where (x1, y1) is the given point.
Plugging in the values, we have y - (-3) = 23(x - 1). Simplifying, we get y + 3 = 23x - 23. To express the equation in slope-intercept form, we isolate y by subtracting 3 from both sides, resulting in y = 23x - 26.
Therefore, the equation of the line is y = 23x - 26.
Learn more about Writing equations of lines in slope-intercept form