[tex]y=\frac{11}{4}x +4[/tex] is the equation best represents the line.
Solution:
Take any two points on the line.
Let the points be (0, –4) and (4, 7).
[tex]x_1=0,y_1=-4,x_2=4, y_2=7[/tex]
General form of equation of a line is y = mx + c
where m is the slope and c is the y-intercept of the line.
y-intercept is the point which line crosses at y-axis.
In the given line, y-intercept is 4.
c = 4
Slope of the line:
[tex]$m=\frac{y_2-y_1}{x_2-x_1}[/tex]
[tex]$m=\frac{7-(-4)}{4-0}[/tex]
[tex]$m=\frac{11}{4}[/tex]
Equation of the line:
y = mx + c
[tex]y=\frac{11}{4}x +4[/tex]
Hence [tex]y=\frac{11}{4}x +4[/tex] is the equation best represents the line.
