The graph of the equation [tex]y = \dfrac{3}{4}x- \dfrac{1}{2}[/tex] is a straight line in the attached image.
We have to determine, the graph of the function [tex]y = \dfrac{3}{4}x- \dfrac{1}{2}[/tex] .
According to the question,
A linear equation in two variables can have infinitely many solutions and we get every solution in form of pair of values.
Plot these values on a coordinate plane and draw the graph of the linear equation in two variables.
The easiest way to graph something in slope-intercept form is to use the y-intercept and the slope because that info is given.
To plot the graph of the equation follows all the steps given below.
- Step1; The y-intercept is when x = 0 and then y would equal -1/2. The points are (0,-1/2)
- Step2; The slope is 3/4 which is rise over run so go three up (rise) and 4 across (run).
- Step3; The line has a positive slope because the slope is positive in the equation, not negative.
- Step4; There are two points, draw a line connecting the two points.
Hence, The graph of the equation [tex]y = \dfrac{3}{4}x- \dfrac{1}{2}[/tex] is a straight line in the attached image.
To know more about the Straight line click the link given below.
https://brainly.com/question/12811379
