Question

Hi dear, can you help me with that , please!!!

Answer 1

Step-by-step 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,

`\begin{gathered} y=mx+b \\ -1=(1)(-7)+b \\ -1=\text{ -7+b} \\ \text{Simplify and rearrange} \\ b=-1+7 \\ b=6 \end{gathered}`

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.