Question

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

(-9,7), (3,3)
What is the point-slope form of the equation of the line?
1
y = - 3x+6
(Simplify your answer. Use integers or fractions for any numbers in the equation.)

Answer 1

the equation of the line is:

y = -1/3x + 10

Explanation:

let's take the given co - ordinates as:

x1, y1 = -9, 7

x2, y2 = 3, 3

equation of the line is:

y = mx + c

where slope, m = y2 - y1 / x2 - x1

= 3 - 7 / 3 + 9

= -4/12 = -1/3

let's take co - ordinate x1, y1 as x, y to find the value of constant, c

7 = -1/3(9) + c

7 = -3 + c

7 + 3 = c

c = 10

thus, the equation of the line is:

y = -1/3x + 10