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

Answer:

$y=\dfrac67x-\dfrac67$

Step-by-step 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:

$\textsf{slope}\:(m)=\dfrac{6-0}{8-1}=\dfrac67$

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):

$\implies y-0=\dfrac67(x-1)$

$\implies y=\dfrac67x-\dfrac67$

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

$y=\dfrac67x-\dfrac67$