Question

5.

A line passing through the points (-1, -5) and (4, t) has a slope equal to 1.
Find the value of t.

Answer 1

Answer: 1.2

Explanation:

Slope (m) =

ΔY

ΔX

=

6

5

= 1.2

θ =

arctan( ΔY )

ΔX

= 50.194428907735°

ΔX = 4 – -1 = 5

ΔY = 1 – -5 = 6

Distance (d) = √ΔX2 + ΔY2 = √61 = 7.8102496759067

Equation of the line:

y = 1.2x – 3.8

or

y =

6 x

5

– 19

5

When x=0, y = -3.8

When y=0, x = 3.1666666666667