Question

Write the equation of the line in slope-intercept form. m=−2 , passes through the point (1,8)

Answer 1

y = - 2x + 10

Explanation:

The equation of a line in slope-intercept form is given by:

y = m x + c

Here,

m → slope of the line

c → y-intercept

• In this case, the slope (m) is given as -2, and the line passes through the point (1, 8).
• We can substitute these values into the equation to find the y-intercept (c)

Using the point-slope form of a line, we have:

( y - y₁ ) = m ( x - x₁ )

Substituting the coordinates ( x₁, y₁ ) = ( 1, 8 ), and the slope m = -2:

( y - 8 ) = - 2 ( x - 1 )

Expanding and rearranging the equation:

y - 8 = - 2x + 2

Adding 8 to both sides:

y = - 2x + 10

Answer 2

y = -2x+10

Explanation:

Slope-intercept form of the equation for a line is

y = mx+b where m is the slope and b is the y intercept

We know the slope is -2

y = -2x+b

Substituting the point in for x and y and solving for b.

8 = -2(1) + b

8 = -2+b

10 =b

Now

y = -2x+10