47.0k views
5 votes
Write an inequality, in slope-intercept form, for the graph below. If necessary,use "<=" for sor">=" for >.5(-3,0)5(0, -3)

Write an inequality, in slope-intercept form, for the graph below. If necessary,use-example-1

1 Answer

1 vote

we need to find the line equation for the dashed line. Since we have 2 points of the line, its slope is


\begin{gathered} m=(-3-0)/(0-(-3)) \\ m=(-3)/(3) \\ m=-1 \end{gathered}

where we used the slope formula:


m=(y_2-y_1)/(x_2-x_1)

Then, our searched line has the form:


y=-x+b

where b is the y-intercept. We can finde b by substituting point (0,-3) into the last equation:


\begin{gathered} -3=-(0)+b \\ b=-3 \end{gathered}

then, the searched line in slope-intercept form is


y=-x-3

Therfore, the given area can be modeled as


y>-x-3

because when a line is dashed it doesn't belong to the given area.

User EAmez
by
8.7k points
Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.