Question

Find the equation of the line from given point and slope.....

a) passes through (-5,4) and has slope, m=1/2​

Answer 1

Slope-intercept form:

`y=\frac12x+\frac{13}2`

Standard form:

`x-2y=-13`

Explanation:

Point-slope form of a linear equation:
`y-y_1=m(x-x_1)`

(where
`m` is the slope and
`(x_1,y_1)` is the point)

Given:

• 
  `m=\frac12`
• 
  `(x_1,y_1)=(-5,4)`

Substituting these values into the point-slope formula:

`\implies y-4=\frac12(x+5)`

`\implies y-4=\frac12x+\frac52`

`\implies y=\frac12x+\frac{13}2`

Slope-intercept form:

`y=\frac12x+\frac{13}2`

Standard form:

`x-2y=-13`