graph a line with a slope of .5 and a y-intercept of 3.5

Question

graph a line with the slope and y-intercept given.

the slope is .5 & the y-intercept is 3.5

Answer 1

No graph posting is needed.  Let's write the equation of the 

line first...

 

m=0.5=1/2="rise/run"....slope of a line, given, equals (#vertical

                                      units change)/(#horizontal units change),

                                      note "m" is positive

y-intercept=(0,b)=(0,3)...given

 

Substitute the given info into the "slope-intercept" form for a linear

equation...

y=mx+b .........slope-intercept form

y=0.5x+3........substitute for "m and b"

y=(1/2)x+3.....Eq1, equation rewritten with fraction equivalent

                       for "m", this is the equation of the line to be plotted.

 

To construct the graph on a coordinate grid...

1. Plot point (0,3) on the grid.

2. From (0,3), go up 1 unit, right 2 units.  Plot that point, should

    be (2,4).

3. Go back to to point (0,3).

4. From (0,3), go down 1 unit, left 2 units.  Plot that point, should

    be (-2,2).

5. Connect the points with a straight line using a ruler.

6. Label the points and write the line equation on the graph. Your

    graph is complete.

 

You should now take Eq1 above and plug in the points you graphed 

into the equation to see if those points lie on that line.  If, after

simplifying, you get a value on one side of the equal sign that is the

same as the other side, the plotted point DOES line on the line AND 

is a solution for your equation of the line.