Question

Find an equation for the line whose graph is sketched.

Answer 1

y intercept is 1
gradient is 4
graph is downhill therefore gradient is negative, so equation of line is
y=-4x+1

Answer 2

The equation of line is y=-4x+1

What is an equation?

In its simplest format in algebra, the definition of an equation exists as a mathematical statement that indicates that two mathematical expressions exist equal. For instance, 3x + 5 = 14 exists an equation, in which 3x + 5 and 14 exist two expressions separated by an 'equal' sign.

Equation of line in Two point form

When we know any two points on a line lets say $(a_1,b_1)$ and $(a_2,b_2)$, we can write its equation as:

$y-b_1=m(x-a_1)$

where

$m=\dfrac{b_2-b_1}{a_2 -a_1}$

Here, two points are (0,1) and (-1,5)

$m=\dfrac{5-1}{-1-0}=-4$

y-1= -4(x-0)

y = -4x + 1

Hence the equation of line is y = -4x + 1.

To know more about linear equations refer to:

https://brainly.com/question/14323743

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