Write an equation of a line that passes through the given points.
(-4,6) (1,1)
y=2-x
(-4,6), (1,1).
m = (1-6)/(1-(-4)) = -5/5 = -1.
Y = mx + b = 6.
-1*-4 + b = 6.
b = 2.
Y = -x + 2.
To write the equation of a line that passes through two points, you can use the slope-intercept form of a linear equation, which is given by:
y = mx + b,
where m represents the slope of the line and b represents the y-intercept.
To find the slope (m), you can use the formula:
m = (y2 - y1) / (x2 - x1),
where (x1, y1) and (x2, y2) are the coordinates of the two points.
Given the points (-4, 6) and (1, 1), we can calculate the slope:
m = (1 - 6) / (1 - -4)
= -5 / 5
= -1.
Now that we have the slope, we can choose one of the given points (let's use (1, 1)) to substitute into the slope-intercept form equation, in order to solve for b:
1 = -1(1) + b
1 = -1 + b
1 + 1 = b
b = 2.
Therefore, the equation of the line that passes through the given points is:
y = -x + 2.