Question

Write the equation in slope-intercept form (y=mx+b) that contains the following point with the given slope. Slope = 2 ; (-3, 1) Hint: Use point-slope form first. Then, solve that equation for y.

Answer 1

here,

given point is (-3,2) and slope(m) is 2

so y=mx + b

or 2=2×(-3) +b

or b=8

the equation is

y=mx+b

or y=2x+8

or2x-y+8=0

Answer 2

y = 2x + 7

Explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

here m = 2, so

y = 2x + c ← is the partial equation

To find c substitute (- 3, 1) into the partial equation

1 = - 6 + c ⇒ c = 1 + 6 = 7

y = 2x + 7 ← equation in slope- intercept form