Question

A line has a slope of 1 and passes through the point (9, 1) Whatis its equation in
slope-intercept form?

Answer 1

Answer:

y = x - 8

Step-by-step explanation:

To write the equation of a line in slope intercept form

Step1 : find the slope

The slope has been given

Slope m = 1

Step 2: using a point slope form

y - y_1 = m ( x - x_1)

Substitute m

y - y_1 = 1 ( x - x_1)

Step 3: substitute the point

( 9 , 1)

x_1 = 9

y_1 = 1

y - 1 = 1( x - 9)

Step 4: using a slope intercept form

y = mx + c

Open the bracket

y - 1 = 1( x - 9)

y - 1 = x - 9

y = x - 9 + 1

y = x - 8

The equation of the line in slope intercept form is

y = x - 8