Question

If one point on a graph is (5,5) and the slope of the line is -4, write the equation of the line in slope-

intercept form.

Answer 1

0=4x+y-5

Explanation:

slope(m)=-4

y-intercept(c)=5

now, the equation joining the straight line satisfy the equation,

y=mx+c

or, y= -4x+5

or, 4x+y-5=0

or, 0=4x+y-5

it is the required equation.

Answer 2

y = -4x + 25

Explanation:

`(x_1, y_1) = (5, 5) \ ; \ slope ,\ m = -4`

Equation of line :

`(y - y_1) = m(x - x_1)`

`(y - 5) = -4(x-5)\\y - 5 = -4x + 20\\y = -4x +20 + 5\\y = -4x + 25`