Question

Write (1,4) and(-1,1) in standard form, slope intercept form, and point slope form

Answer 1

• (1,4)
• (-1,1)

`\\ \tt\longmapsto m=(1-4)/(-1-1)=(-3)/(2)`

Equation in point slope form

`\\ \tt\longmapsto y-4=-3/2(x-1)`

`\\ \tt\longmapsto 2y-8=-3x+3`

`\\ \tt\longmapsto 3x+2y-11=0`

Standard form

• 3x+2y=11

Slope intercept form

• y=-3/2x+11/3

Answer 2

• See below

Explanation:

Standard form:

• ax + by = c

Slope intercept form:

• y = mx + b

Point slope form:

• y - y₁ = m(x - x₁)

Use the given points and find the slope:

• m = (y₂ - y₁) / (x₂ - x₁)
• m = (1 - 4) / (- 1 - 1) = - 3/ - 2 = 3/2 = 1.5

Point-slope form:

• y - 4 = 1.5(x - 1)

Convert this to slope-intercept form:

• y - 4 = 1.5(x - 1)
• y = 4 + 1.5(x - 1)
• y = 4 + 1.5x - 1.5
• y = 1.5x + 2.5

Convert this into standard form:

• y = 1.5x + 2.5
• 2y = 3x + 5
• 3x - 2y = - 5