Answer:
y = 2/3x + 19/3
Step-by-step explanation:
Use the slope-intercept formula y = mx + b where m=slope and b=y-intercept.
Use the point (-2, 5) to substitute for (x, y) and slope(m) = 2/3
y = mx + b will now be
5 = (2/3)(-2) + b
Simplify
5 = -4/3 + b
Solve for b
5 + 4/3 = b or 15/3 + 4/3 = b ; therefore, b = 19/3
You know your slope(m) = 2/3 and your y-intercept(b) = 19/3 plug it back into the slope-intercept form.
y = 2/3x + 19/3
