Question

(2,5) and (0,1) in slope intercept form

Answer 1

y = 2x + 1 is the equation of line in slope intercept form

Solution:

Given that we have to write the slope intercept form

Let us first find the slope of line

The slope of line is given by formula:

$m = \frac{y_2-y_1}{x_2-x_1}$

Here the given points are (2, 5) and (0, 1)

$(x_1, y_1) = (2, 5)\\\\(x_2, y_2) = (0, 1)$

Substituting the values in formula,

$m = \frac{1-5}{0-2}\\\\m = \frac{-4}{-2}\\\\m = 2$

Thus slope of line is 2

The equation of line in slope intercept form is given as:

y = mx + c --------- eqn 1

Where, "m" is the slope and "c" is the y intercept

Substitute m = 2 and (x, y) = (0, 1) in eqn 1

1 = 2(0) + c

c = 1

Substitute c = 1 and m = 2 in eqn 1

y = 2x + 1

Thus the equation of line in slope intercept form is found