Question

Write an equation in slope-intercept form of the line that passes through ( 7,2 ) ( 2,12 )

Answer 1

y = -2x + 16

Explanation:

Slope-intercept form is:

• y = mx + b

Where m = slope

b = y-intercept

To find the slope of the line containing (7,2) and (2,12), we have to find the slope, m.

• m = (y2 - y1)/ (x2 - x1)
• = (12 - 2)/(2 - 7) = 10/-5 = -2

Now, to find the y-intercept (b), insert m = -2 into the equation and one of the given points:

• y = -2x + b

let's use point (7,2) to find b:

• 2 = -2(7) + b
• 2 = -14 + b
• b = 16

Now, we can find the equation of this line:

• y = -2x + 16

Answer 2

y=-2x+16

Explanation:

First we should find the slope.

We can use the formula (y2-y1)/(x2-x1)

(12-2)/(2-7)=10/-5=-2

So, the slope is -2.

From there, we can plug in one of the points into the standard slope-intercept equation, y=mx+b, along with the slope we already found

y=-2x+b

12=-2(2)+b

12=-4+b

b=16

So, the slope-intercept equation is y=-2x+16