Write the expression of the line that passes through (3,4) and (2,-1) in slope-intercept form

To solve this problem, first we must find the slope to write an equation in point slope form, and then we can simplify that equation to be in slope-intercept form.

Slope is equal to change in y/change in x = m = 4 - (-1) / 3 - 2 = 5 / 1 = 5

This means that the slope is 5. To write an equation in point-slope form, we need a point (I will use (3,4) but you could use the other point as well) and the slope to complete the form y = m(x - h) + k.

If we plug in the respective values, we get:

y = 5(x-3) + 4

Now, we must simplify to make this equation in the form y = mx + b (slope-intercept form).

y = 5x - 15 + 4
y = 5x - 11

Your final answer is y = 5x - 11.

Hope this helps!