The correct point-slope equation would be:
(y - 45) = -5(x - 3)
14. Suppose that the water level of a river is 45 feet after 3 days of no rain and 10 feet after 10 days of no rain. Given the two points we know: (3, 45) and (10, 10), what would the point slope equation look like?(1 point)%0D%0AResponses%0D%0A%0D%0A(y−3)=−5(x−45)%0D%0A(%0D%0A%0D%0A−%0D%0A3%0D%0A)%0D%0A=%0D%0A−%0D%0A5%0D%0A(%0D%0A%0D%0A−%0D%0A45%0D%0A)%0D%0Aopen paren y minus 3 close paren is equal to negative 5 times open paren x minus 45 close paren%0D%0A%0D%0A(y−45)=−5(x−3)%0D%0A(%0D%0A%0D%0A−%0D%0A45%0D%0A)%0D%0A=%0D%0A−%0D%0A5%0D%0A(%0D%0A%0D%0A−%0D%0A3%0D%0A)%0D%0Aopen paren y minus 45 close paren is equal to negative 5 times open paren x minus 3 close paren%0D%0A%0D%0A(y+10)=−5(x−10)%0D%0A(%0D%0A%0D%0A+%0D%0A10%0D%0A)%0D%0A=%0D%0A−%0D%0A5%0D%0A(%0D%0A%0D%0A−%0D%0A10%0D%0A)%0D%0Aopen paren y plus 10 close paren is equal to negative 5 times open paren x minus 10 close paren%0D%0A%0D%0A(y−10)=−5(x+10)
5 answers
how did u get that
To find the point-slope equation, we use the formula:
(y - y1) = m(x - x1)
where (x1, y1) is a point on the line and m is the slope of the line.
Given the two points (3, 45) and (10, 10), we can calculate the slope as:
m = (y2 - y1) / (x2 - x1)
= (10 - 45) / (10 - 3)
= -35 / 7
= -5
Using the point (3, 45), we have:
(y - 45) = -5(x - 3)
This gives us the point-slope equation.
(y - y1) = m(x - x1)
where (x1, y1) is a point on the line and m is the slope of the line.
Given the two points (3, 45) and (10, 10), we can calculate the slope as:
m = (y2 - y1) / (x2 - x1)
= (10 - 45) / (10 - 3)
= -35 / 7
= -5
Using the point (3, 45), we have:
(y - 45) = -5(x - 3)
This gives us the point-slope equation.
do i have to make a graph
Making a graph is not required to find the point-slope equation, but it can be helpful for visualization purposes and can aid in understanding the relationship between the points and the line.
1 answer