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

Step-by-step 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