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Solve math please.???

Solve math please.???-example-1
User Halberdier
by
8.0k points

1 Answer

9 votes

9514 1404 393

Answer:

a) 3

b) 1

c) y = 3x +1

Explanation:

Given:

A(1, 4), B(2, 7)

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

Find:

a) the slope of the line through these points

b) the y-intercept of the line through these points

c) the equation of the line through these points

Solution:

a) Using the given formula, the slope is ...

m = (7 -4)/(2 -1) = 3/1 = 3 . . . the slope of the line

__

b) The y-intercept can be found from* ...

b = y1 -m·x1

b = 4 -3·1 = 1 . . . the y-intercept

__

c) The equation in slope-intercept form is ...

y = mx +b

y = 3x +1

_____

* This equation for the y-intercept is not one you see often. It can be derived from the point-slope form of the equation of a line:

y -y1 = m(x -x1)

y = mx -m·x1 + y1 = mx +b . . . . eliminate parentheses, add y1

b = y1 -m·x1 . . . . . . . . solve for b

User Andrew Meyer
by
8.1k points

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