Question

Which equation best represents the line graphed below?



Y=3/7x+1

Y=7/3x+1

Y=7/3x-7

Y=3/7x-7

Answer 1

Answer:

$y = \frac{3}{7} x + 1$

Step-by-step explanation:

Let's write the equation of the line in the form of $y = mx + c$. 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).

$\boxed{ \text{slope} = \frac{y _{1} - y_2 }{x_1 - x_2} }$

Slope of line

$= \displaystyle{\frac{4 - 1}{7 - 0} }$

$= \displaystyle{ \frac{3}{7} }$

Substitute the value of m:

$y = \frac{3}{7} x + c$

Substitute the value of c:

From the graph, the y-intercept is 1.

Substituting c= 1 into the equation:

$y = \frac{3}{7} x + 1$

Thus, the equation of the line is $y = \frac{3}{7} x + 1$.

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