Question

What is (5,3) and (6,7) in point slope form

Answer 1

(y−3)=4(x−5)

Explanation:

Point slope form is defined by the formula
`y-y_(1)=m(x-x_(1))`

First, you find the slope using the slope equation
`(y_(2) -y_(1))/(x_(2)-x_(1))`. (7−3)/(6−5)=4. Then you plug it back into the point slope form equation, and also plug in the points from y1 and x1.

This is also y=4x−17 in slope-intercept form or −4x+1y=−17 in standard form.

Answer 2

4

Explanation:

( x1, y1 ) = ( 5, 3 )

Here,

x1 = 5

y1 = 3

( x2, y2 ) = ( 6, 7 )

Here,

x2 = 6

y2 = 7

Formula : -

Slope = ( y2 - y1 ) / ( x2 - x1 )

Slope = ( 7 - 3 ) / ( 6 - 5 )

= 4 / 1

Slope = 4