Question

A line passes through (4, 5) and (8, 9). Which equation best represents the line?

Answer 1

Answer:

that is the equation of the line, its slope is 1 and the y-intercept is 1 y = x + 1

Step-by-step explanation:

we can calculate the slope of this line passing through (4,5) and (8,9) like this:

m = (y2 - y1)/(x2 - x1)

m = (9 - 5)/(8 - 4)

m = 4/4

m = 1

so the slope is 1, and now we can use the equation of one point and the slope to write the line's equation:

y - y1 = m(x - x1)

y - 5 = 1*(x - 4)

y - 5 = x - 4

y = x + 1

that is the equation of the line, its slope is 1 and the y-intercept is 1