Question

What is the equation of the line that passes through (1, 2) and (8,9) in slope-intercept form?

Answer 1

Answer:

The equation of line that passes through (1, 2) and (8,9) in slope-intercept form is: $y = x+1$

Step-by-step explanation:

The slope-intercept form of line is given by the formula:

$y = mx+b$

Here m is the slope and b is the y intercept

Given

$(x_1,y_1) = (1,2)\\(x_2,y_2) = (8,9)$

First of all, the slope has to be found

$m = \frac{y_2-y_1}{x_2-x_1}\\m = \frac{9-2}{8-1}\\m = 1$

Putting m=1 in the equation

$y = x+b$

Putting the point (1,2) in the equation to find the value of b

$2 = 1+b\\b = 2-1\\b = 1$

The equation is:

$y = x+1$

Hence,

The equation of line that passes through (1, 2) and (8,9) in slope-intercept form is: $y = x+1$