Question

Directions: From the graph, write the linear equation in slope-intercept form

Answer 1

From the graph, we can see the line is passing through the points (-3,0) and (0,-3).

So the x-intercept of the graph is -3 and y-intercept of the graph is -3.

The slope of the line passing through (-3,0) and (0,-3) is

$m=\frac{-3-0}{0-(-3)}\Rightarrow m=\frac{-3}{3}\Rightarrow m=-1$

Hence slope of the line is m= - 1.

Now we know that equation of a straight line with slope m and intercept c is

$y=mx+c$

Hence the equation is

$y=-x-3$