Question

Question 3 (1 point)Writing from point slope to slope intercepty + 3 = 1/2(x+4)

Answer 1

The given equation in the point slope form is expressed as

y + 3 = 1/2(x + 4)

The standard form for a point slope equation is expressed as

y - y1 = m(x - x1)

Where

m represents slope

By comparing both equations,

slope, m = 1/2

y1 = - 3(we know that y - - 3 = y + 3)

x1 = - 4(We know that x - - 4 = x + 4)

The slope intercept form is expressed as

y = mx + c

Where

c represents the y intercept

We would determine c by substituting x = - 4, y = - 3 and m = 1/2 into the slope intercept equation. It becomes

- 3 = 1/2 * - 4 + c

- 3 = - 2 + c

c = - 3 + 2

c = - 1

Substituting c = - 1 and m = 1/2 into the slope intercept equation, it becomes

y = x/2 - 1

The equation in slope intercept form is

y = x/2 - 1