Answer:
[tex]y=\frac{4}{3}x+4[/tex] is the equation of line in slope intercept form.
Step-by-step explanation:
Line runs through points begin ordered pair negative 3 comma 0 end ordered pair and begin ordered pair 0 comma 4.
First ordered pair: (-3,0)
Second ordered pair: (0,4)
We have two points and need to find equation of line in slope intercept form
[tex]\text{Slope (m)}=\dfrac{y_2-y_1}{x_2-x_1}[/tex]
[tex]\text{Slope (m)}=\dfrac{4-0}{0-(-3)}=\dfrac{4}{3}[/tex]
y-intercept, when x=0 , (0,4)
Equation of line in slope intercept form:
y=mx+b
where, [tex]m=\frac{4}{3}[/tex] and b=4
Required equation:
[tex]y=\frac{4}{3}x+4[/tex]
Thus, [tex]y=\frac{4}{3}x+4[/tex] is the equation of line in slope intercept form.
