How would you solve this(what is the equation of the line that passes through the point (3,4) and has a slope of -2/3?)//delta math//

Answer:
[tex]y = -\frac{2}{3}x + 6[/tex]
Step-by-step explanation:
y = mx + b is the formula for slope intercept. What we can do is plug in the slope and coordinate points to find the y-intercept.
4 = [tex]-\frac{2}{3}[/tex](3) + b
-2/3 times 3 is -2 so you can fill that in place.
4 = -2 + b
+2 +2
6 = b
So the y-intercept is 6 now we can complete the equation.
[tex]y = -\frac{2}{3}x + 6[/tex]
Hope that helps and have a great day!