Answer:
x + 5y = 7
Step-by-step explanation:
You can find which one is correct by plugging in -3 for each x value and then solving for y.
x + 5y = 7
(-3) + 5y = 7
5y = 10
y = 2
When x = -3, y=2
(2) + 5y = 7
5y = 5
y = 1
When x=2, y=1
The equation of straight line that represents a line that passes through points (−3, 2) and (2, 1) is Option (D) x + 5y = 7.
The equation of a straight line passing through the points (x1,y1) and (x2,y2) and having slope m is given by -
y - y1 = m(x - x1) .
The slope m, can be calculated as m = (y2 - y1)/(x2 - x1) .
Thus the equation of straight line in slope intercept form is -
[tex]y - y1 = \frac{y2 - y1}{x2 - x1} (x - x1)[/tex]
Given points are (-3,2) and (2,1) .
We have x1 = -3 , x2 = 2 , y1 = 2 , y2 = 1
Slope (m) = (1 - 2)/(2 - (-3)) = -1/5
Putting the required values to find the equation of straight line in slope intercept form -
⇒ y - 2 = (-1/5)*(x - (-3))
⇒ (y - 2)*5 = -1*(x + 3)
⇒ 5y - 10 = -x - 3
∴ x + 5y = 7
The required equation is Option (D) x + 5y = 7.
Thus, the equation of straight line that represents a line that passes through points (−3, 2) and (2, 1) is Option(D) x + 5y = 7.
To learn more about equation of straight line in slope intercept form , refer -
https://brainly.com/question/8339966
#SPJ2
