Question

Write the equation of the line through
(0, 4) and (2, 0) in slope-intercept form.

Answer 1

Answer: y = -2x + 4

Step-by-step explanation: slope intercept form is "y=mx+b" where m is the slope and b is they y intercept. the y intercept is when x=0 and it's given to us in the question. the y intercept is (0,4). so y=4. we can plug that into the equation to now have y=mx + 4.

now we need to find the slope. we can do this by plugging the two points into the formula
`(y2-y1)/(x2-x1)`. so we'd have
`(0-4)/(2-0)` to get -4/2 which is -2. -2 is the slope.

so the final answer is y = -2x + 4