Answer:
Explanation:
Given:
Point (-7,-1)
Slope = 1
To find the equation of the line, we use the formula:
y=mx+b
where:
m=slope
b = y-intercept
To find the value of b, we plug in x= -7, y= -1 and m=1 into y=mx+b. So,
[tex]\begin{gathered} y=mx+b \\ -1=(1)(-7)+b \\ -1=\text{ -7+b} \\ \text{Simplify and rearrange} \\ b=-1+7 \\ b=6 \end{gathered}[/tex]
Construct the line equation y=mx+b where m=1 and b=6.
y=mx+b
y=(1)x++6
y= x + 6
Therefore, the equation of the line is y= x + 6.
