Question

50 POINTS PLEASE ANSWER

Answer 1

Take 2 coordinates

• (1,0)
• (8,6)

Slope'-

• m=6/8-1
• m=6/7

Equation in point slope form

• y-0=6/7(x-1)
• 7y=6x-6
• y=6/7x-6/7

Answer 2

`y=\frac67x-\frac67`

Explanation:

From inspection of the graph, we have been given two points on the line:

`\textsf{let}\:(x_1,y_1)=(1,0)`

`\textsf{let}\:(x_2,y_2)=(8,6)`

Therefore:

`\textsf{slope}\:(m)=(6-0)/(8-1)=\frac67`

Point-slope form of linear equation:
`y-y_1=m(x-x_1)`

(where m is the slope and (x₁, y₁) is a point on the line)

Substituting the values of m and (x₁, y₁):

`\implies y-0=\frac67(x-1)`

`\implies y=\frac67x-\frac67`

Therefore, the equation of the line in slope-intercept form is:

`y=\frac67x-\frac67`