Question

Write an equation of the line in slope-intercept form: y-intercept of 2, x-intercept of 4

Answer 1

`\sf y=-\frac12x+2`

Explanation:

y-intercept is when x = 0, so (0, 2)

x-intercept is when y = 0, so (4, 0)

`\sf slope=(change\:in\:y)/(change\:in\:x)=(0-2)/(4-0)=-\frac12`

Slope-intercept form of linear equation:
`\sf y=mx+b`

(where m is the slope and b is the y-intercept)

Given:

• 
  `\sf m=-\frac12`
• b = 2

`\sf \implies y=-\frac12x+2`