Question

can someone write this equation is slope intercept form?​

Answer 1

Answer:

To find the slope use the distance formula. The distance formula is Y2-Y1/X2-X1.

300-100/10-2

200/8

25

So, the equation so far is y=25x+b. To  find the y-intercept, substitute one of the points into the equation.

100=25(2)+b

100=50+b

b=50

The equation of the line is y=25x+50.

:)

Answer 2

Answer:

y = 25x + 50

Step-by-step explanation:

The graph shows this line passing through (2, 100) and (10, 300).  Here x changes from 2 to 10, a 'run' of 8, and y changes from 100 to 300, a 'rise" of 200.  Hence the slope of this line is m = rise / run = 200/8 = 100/4 = 25.

The basic slope-intercept form is y = mx + b.  We know that m = 25.  Taking coordinate values from (2, 100), we let x = 2 and y = 100:

100 = 25(2) + b, or 100 = 50 + b.  

Therefore, the y-intercept is 50, and the desired equation in slope-intercept form is

y = 25x + 50