Question

(08.01) The graph shows two lines, Q and S. A coordinate plane is shown with two lines graphed. Line Q has a slope of one half and crosses the y axis at 3. Line S has a slope of one half and crosses the y axis at negative 2. How many solutions are there for the pair of equations for lines Q and S? Explain your answer.

Answer 1

Answer:

There are no solutions for the pair of equations.

The lines are parallel to each other

Step-by-step explanation:

Line Q has a slope of 1/2 and crosses the y axis at 3.

This mean at x=0, y=3

Using the equation of a straight line expression to find the slope

y=mx +c  where m is slope and c in the y intercept you can write the equation for Line Q as;

$y=mx+c\\\\y=\frac{1}{2} x+c\\\\3=\frac{1}{2} *0+c\\\\3=c\\\\y=\frac{1}{2} x+3$

For the Line S , slope is 1/2  and the line crosses the y axis at -2 , which represents the c in the equation y=mx +c

The equation for S will be

$y=\frac{1}{2} x-2$

Using the graphing tool to plot the two equations for line  Q and line S we notice that the lines are parallel .For solutions, they have to intersect.

Answer 2

Answer:

There are no solutions because Q and S aren't even intersecting with each other  

Step-by-step explanation: