Question

Give the equation of the line graphed below in slope-intercept form.

Give your answer without spaces. Simplify any fractions as much as possible (example: from 6/8 to 3/4) to an improper fraction or whole number when applicable. Use a / to indicate a fraction. Do not include decimals. Example: y=2/3x+1

Answer 1

y = 5x - 2

Explanation:

go with the steps and explanation.

to find slope:

find we have to take two best fit coordinates through which the line is passing : ( 0 , -2 ) , ( -1 , -7 )

secondly find the slope using the formula:
`(y-y1)/(x-x1)`

here y is -7 and y1 is -2 , x is -1 and x1 is 0

`(-7--2)/(-1-0)`

`5` .......this is the slope

then find equation using:

y - y1 = m( x - x1 ) ..............m is the gradient and y and x should be constant

y - -2 = 5 ( x - 0 )

y + 2 = 5x

y = 5x - 2 ......this is our equation in slope intercept form