The current equation is in its point-slope form y – y1 = m(x – x1)
Y – 12 = 5(x – 5)
Distribute 5 into the terms inside the parenthesis:
Y - 12 = 5x – 25
Add 12 on both sides:
Y -12 + 12 = 5x – 25 + 12
Y = 5x – 13 (this is the slope-intercept form of the equation, where m = slope, and b = y-intercept).
The slope of the equation is 5, and the y-intercept is –13.
To verify whether we have the correct value for the y-intercept, we can set x = 0 and solve for b:
Y= 5(0) – 13
Y = 0 -13
Y = - 13.
Therefore, we have the correct answer for the y-intercept. By definition, the y-coordinate of the y-intercept is the point in the graph where it crosses the y-axis (it’s the value of y when x = 0).
Y-intercept (b) = -13.
