2 Answers

Evgeny Mikhaylov · Answer 1 · 2023-02-19T06:15:09+0000

Answer:

$y=\frac67x-\frac67$

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:

$y=\frac67x-\frac67$

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