Question

Determine the intercepts of the line

y−3=5(x−2)

Answer 1

the x intercept is where the line crosses the x axis or where y=0
the y intercept is where the line crosses the y axis or where x=0


so
x intercept
y=0
so
y-3=5(x-2)
0-3=5(x-2)
-3=5x-10
add 10 both sides
7=5x
divide by 5 both sides
7/5=x
x intercept is at x=7/5 or the point (7/5,0)


y intercept
x=0

y-3=5(x-2)
y-3=5(0-2)
y-3=5(-2)
y-3=-10
add 3 both sides
y=-7
y intercept at y=-7 or the point (0,-7)



x intercept at x=7/5 or the point (7/5,0)
y intercept at y=-7 or the point (0,-7)

Answer 2

Just think of the y = mx + b method $Step^1: y - 3 - 5(x) - 2 \\Step^2: y - 3 - 5 (x) - 2 \\ Step^3 : \frac{-7}{1} = -7 (y-intercept) \\ Step^4 : \frac{7}{5} = 1.4 (x-intercept) \\ Step^5: \frac{10}{2} = 5 (Slope) \\ Step^6: Answer \\ x-intercept: 1.4 \\ y-intercept: -7$


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