Let's begin by listing out the information given to us:
y - 3 = 5(x - 2)
Expand the bracket, we have:
y - 3 = 5x - 5(2)
y - 3 = 5x - 10
Add "3" to both sides, we have:
y - 3 + 3 = 5x - 10 + 3 ⇒ y = 5x - 7
y = 5x - 7
From the general slope-intercept equation,
y = mx + b
Where: m = slope, b =y-intercept
It implies that y-intercept equals -7 (b = -7)
At the x-intercept, y = 0
y = 5x - 7
