Write an equation for the line that passes through coordinates ( 2,5) and (6,7)

y = 1/2x + 4

work:

let's use slope-intercept form to help model this equation:

y = mx + b

in slope intercept form, m = slope, b = y-intercept, and using those, any x and y values along the line should make an accurate equation using the form.

okay, so start by finding the slope. to do this, subtract the y values over the x values.

7 - 5 / 6 - 2

2 / 4

1 / 2

so, the slope is 1/2. let's plug this into our equation.

y = 1/2x + b.

next, we need to isolate b, so plug in x and y values and solve for b.

5 = 1/2(2) + b

5 = 1 + b

4 = b

so, b = 4. add that into the equation.

y = 1/2x + 4

so, we have the values we need, your equation is complete! i hope this helps, and have a great day! don't hesitate to ask if you need more help with this specific question! ♥ - eviezoom

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step-by-step explanation: