Question

A line that includes the point (2,10) has a slope of 9. What is its equation in slope intercept form

Answer 1

Explanation:

Here slope of the line (m) = 9

And the line passes through the point (2,10)

Equation is the line is given by

`y - y1 \: = m(x - x1)`

y - 10 = 9 (x - 2)

y -10 = 9x - 18

y -9x = -18+10

9x-y +8 = 0

is the required equation of the line.

Answer 2

y = 9x - 8

Explanation:

The intercept form of the equation of a line is represented by

y = mx + c

Where;

y = value of the y-coordinate at any point on the line

m = the slope of the line =

(change in y) / (change in x)

= (y - y1) / (x - x1)

x = value of the x-coordinate at that point.

c = intercept on the Y-axis in a Cartesian plane

Points are represented as (x, y)

Given a point on the line (2, 10)

(2, 10) corresponds to (x, y)

x = 2

y = 10

Also given, slope, m = 9

Recall m = (y - y1) / (x - x1)

Coordinates at a point on the line were given (2, 10)

y1 = 10

x1 = 2

9 = (y - 10) / (x - 2)

Cross multiply

y - 10 = 9(x - 2)

On expansion,

y - 10 = 9x - 18

To make y subject of formula, add 10 to both sides of the equation

y - 10 + 10 = 9x - 18 + 10

y = 9x - 8

y = 9x - 8 is the equation in slope form.