Write the equation of the line in the indicated form that meets each criterion below.

Question

A. A line with a slope of -2/3 and a y-intercept of 4; in slope-intercept form

B. A line with a y-intercept of – 2 and an x-intercept of 3; in standard form

C. A line with a slope of – 3 and through the point (1, 2

Answer 1

A. y = -2x/3 + 4

B. goes through (0,-2) and (3,0)
(0+2)/(3-0) = 2/3 = (y+2)/(x-0)
y+2 = 2x/3
2x -3y = 6

C. y = -3 x + b
2 = -3(1) = b
b = 5
y = -3x + 5

Answer 2

A. Y = mx + b.
Y = (-2/3)X + 4.

B. ax + by = c.

(0,-2), (3,0).
m = (0-(-2))/(3-0) = 2/3.

Y = mx + b.
Y = (2/3)x - 2,
-2x/3 + y = -2,
Multiply both sides by -3:
2x -3y = 6. STD. form.

C. m = -3, P(1,2).
Y = mx + b.
2 = -3*1 + b, b = 5.
Eq: Y = -3x + 5.