Question

Write an equation in slope-intercept form for the line that passes through (8, 1) and (4,3).

O
y=
O
y =
y=-2x+5
K
1.
-
12
8
+5
HIN
10
2
x+5
k

Answer 1

y = - 1/2x + 5

Step-by-step explanation:

(8,1) and (4,3)

Slope = (3-1)/(4-8)= (2/-4 )

Slope (m) = - 1/2

b = y - mx. (b = y-intercept)

m = - 1/2 - point (4,3)

b = 3 - (-1/2)(4)

b = 3 + 2

b = 5

y = - 1/2x + 5

Answer 2

To write the equation in slope-intercept form for the line that passes through (8, 1) and (4, 3), we find the slope, use the slope-intercept form formula, and substitute the values of x and y into the equation.

Step-by-step explanation:

To write an equation in slope-intercept form for the line that passes through the points (8, 1) and (4, 3), we use the formula:

y = mx + b

where m is the slope and b is the y-intercept. To find the slope, we use the formula:

m = (y2 - y1) / (x2 - x1)

Substituting the given points (8, 1) and (4, 3) into the formula, we get:

m = (3 - 1) / (4 - 8) = 2 / -4 = -1/2

Now, substituting the slope and one of the points into the slope-intercept form equation (8, 1), we get:

y = -1/2x + b

Substituting the values of x=8 and y=1, we can solve for b:

1 = -1/2(8) + b

1 = -4 + b

b = 5

So, the equation in slope-intercept form for the line is:

y = -1/2x + 5

Learn more about Writing equations for lines in slope-intercept form