Question

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

Answer 1

Answer:

$\sf y=-\dfrac12x+2$

Step-by-step explanation:

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

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

$\sf slope=\dfrac{change\:in\:y}{change\:in\:x}=\dfrac{0-2}{4-0}=-\dfrac12$

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

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

Given:

• $\sf m=-\dfrac12$
• b = 2

$\sf \implies y=-\dfrac12x+2$