answer: 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
