Question

Write an equation in slope-intercept form for the line between (2,7) and (6, 19)

Answer 1

y= 3x +1

Explanation:

Slope-intercept form:

y= mx +c, where m is the slope and c is the y-intercept.

Gradient=
`(y1 - y2)/(x1 - x2)`

☆ (x1, y1) is the 1st coordinate and (x2, y2) is the 2nd coordinate

Using the formula above, slope of line

`= (19 - 7)/(6 - 2) \\ = (12)/(4) \\ = 3`

Subst. m=3 into the equation:

y= 3x +c

To find the value of c, substitute a pair of coordinates.

When x= 2, y= 7,

7= 3(2) +c

7= 6 +c

c= 7 -6

c= 1

Thus, the equation of the line is y= 3x +1.