How do you graph #y=3/2 x + 3#?
2 Answers
Start with the point ( 0 + 3) then go up 2 and over 3 to point ( 3,5) connect the dots.
Explanation:
The equation is in the slope intercept form which makes this easy
where m = the slope ( think mountain ski slope)
and b = the y intercept ( think beginning.)
Start at b the beginning
b = ( 0 +3) b is the y intercept where x = 0 and y = 3
Then use the slope
Add 2 to the y value
Add 3 to the x value
this gives the second point ( 3,5)
plot the two points and connect the dots with a line, The graph of the equation is done.
Convert the equation to standard form
Explanation:
Graph:
You need two points to graph a straight line. The x- and y-intercepts are easiest to find, especially when the equation is in standard form.
Convert to standard form,
X-intercept: value of
Substitute
Multiply both sides by
Divide both sides by
The x-intercept is:
Y-intercept: value of
Substitute
The y-intercept is:
Plot the x- and y-intercept and draw a straight line through them.
graph{y=3/2x+3 [-10, 10, -5, 5]}