Question

which linear equation written in slope intercept form is represented by the line in the graph below.Graph photo will be in chat$y = \frac{3}{5} x - 1$$y = - \frac{3}{5} x - 2$$y = - \frac{5}{3} x - 2$$y = \frac{5}{3} x - 1$

Answer 1

To find the equation of a line in slope-intercept form you need to identify the slope (m) and the y-intercept (b)

To find the slope you use two point in the line:

Use the next formula to find the slope:

$m=\frac{y_2-y_1}{x_2-x_1}$$m=\frac{-2-3}{0-(-3)}=\frac{-5}{0+3}=-\frac{5}{3}$

The slope of the given line is m= -5/3

The y-intercept is the value of y when x is 0 (the point where the line cross the y-axis)

In this case the value of y when x is 0 is -2.

Then, you get the next equation for the given graph:

$y=-\frac{5}{3}x-2$