Question

Write an equation of the line in point-slope form that passes through the given points.

(1,4) and (9,9)

Answer 1

Answer: y - 4 = 5/8(x - 1)

Explanation:

We first need to find a slope that will go through (1, 4) and (9, 9). To find the slope, use the slope formula: (y2 - y1)/(x2 - x1). By inputting our values, it will look like this: (9 - 4)/(9 - 1), which will get us 5/8.

Then, for point-slope form, it will look like y - y1 = m(x - x1). Note: *m is the slope.

When we imput our values, we get y - 4 = 5/8(x - 1), which when we check using a graphing calculator, will pass through (1, 4) and (9, 9).

Hope this helps!