Answer:
[tex]y = \frac{3}{7} x + 1[/tex]
Step-by-step explanation:
Let's write the equation of the line in the form of [tex]y = mx + c[/tex]. This is known as the slope-intercept form, and m is the slope while c is the y-intercept.
Finding the value of m:
The slope of the line can be found by taking the slope of any two points that lie on the line, since the line is linear.
In this case, the 2 points chosen are (0, 1) and (7, 4).
[tex]\boxed{ \text{slope} = \frac{y _{1} - y_2 }{x_1 - x_2} }[/tex]
Slope of line
[tex] = \displaystyle{\frac{4 - 1}{7 - 0} }[/tex]
[tex] = \displaystyle{ \frac{3}{7} }[/tex]
Substitute the value of m:
[tex]y = \frac{3}{7} x + c[/tex]
Substitute the value of c:
From the graph, the y-intercept is 1.
Substituting c= 1 into the equation:
[tex]y = \frac{3}{7} x + 1[/tex]
Thus, the equation of the line is [tex]y = \frac{3}{7} x + 1[/tex].
To learn more about equation of line, check out: https://brainly.com/question/25128481
