I need help m=4;(7,5)

Question

I have question how can I do m=4;(7,5)?

Answer 1

I believe you are looking for the slope of y=4x-23.

 

m=4; Point is (7,5)

(7 is the x₁, 5 is the y₁)

 

The formula for slope is y-y₁=m(x-x₁)

y-y1=m(x-x₁)

y-5=4(x-7)

y-5+5=(4(x)-(4)(7))+5

y=4x-28+5

y=4x-23

 

Check: y=4x-23  Points:  (7,5) , (0,-23) & (23/4,0)         23/4=5.75

y=4x-23

y=4(7)-23

y=28-23

y=5

(7,5)

 

y=4x-23

y=4(0)-23

y=0-23

y=-23

(0,-23)

 

y=4x-23

0=4x-23

0+23=4x-23+23

23=4x

23/4=4x/4

23/4=x

x=23/4

x=5.75

(23/4,0) or (5.75,0)

 

Then you can graph it on graphing calculator and on paper with these

Answer 2

Looks like you need to find the equation of a line in y=mx+b form, where m is slope and b is y-intercept.  This line passes through the given point (7, 5).

 

The equation of the line so far is

 

y = 4x + b

 

Next, plug in the coordinates into the equation to find b.

 

5 = 4(7) + b

 

5 = 28 + b

 

-23 = b

 

 

The equation of the line is

 

y = 4x - 23