Answer: [tex]y = x - 4[/tex]
Step-by-step explanation:
The formula for finding equation of line in slope - intercept form is given by
y = mx + c , where m is the slope and c is the y - intercept.
The equation of the line s given is :
[tex]y = x - 10[/tex] , comparing with [tex]y = mx + c[/tex] , this means that slope = 1
Two lines are said to be parallel if they have the same slope , this means that the slope of line t is also 1.
To find the equation , we will use the formula :
[tex]y - y_{1} = m ( x -x_{1})[/tex]
[tex]y - (-3) = 1 ( x - (-1) )[/tex]
[tex]y + 3 = x - 1[/tex]
[tex]y = x - 1 - 3[/tex]
[tex]y = x - 4[/tex]
Therefore , the equation of line t is [tex]y = x - 4[/tex]
