Question

a line has y-intercept of -2 and goes through the point (-3,5) what is the equation of the line?

Answer 1

$y=\frac{-7}{3}x-2$Explanation:

The equation of line: y = mx + b

b = y-intercept

b = -2

The point (x, y)= (-3, 5)

x = -3, y = 5

We would insert the values above in the equation of line to get the slope of the equation:

5 = m(-3) + (-2)

5 = -3m - 2

5 + 2 = -3m

7 = -3m

m = 7/-3

m = -7/3

The equation of the line becomes:

y = -7/3 x + (-2)

$y=\frac{-7}{3}x-2$