Answer:
The equation of the line is equal to
\(y=\frac{3}{2}x-2\)
Step-by-step explanation:
we know that
The equation of the line in slope-intercept form is equal to
\(y=mx+b\)
where
m is the slope of the line
b is the y-intercept of the line ( value of y when the value of x is equal to zero)
In this problem we have
\(m=\frac{3}{2}\)
\(b=-2\)
so
the equation of the line is equal to
\(y=\frac{3}{2}x-2\)
To plot the graph find the intercepts of the line
The y-intercept is the point \((0,-2)\)
Find the x-intercept
The x-intercept is the value of x when the value of y is equal to zero
For \(y=0\)
\(0=\frac{3}{2}x-2\)
\(\frac{3}{2}x=2\)
\(x=\frac{4}{3}\)
the x-intercept is the point \((4/3,0)\)
plot the two points and draw the line through the two points
using a graphing tool
see the attached figure
