Question

The graph of a linear function passes through the point (-1, 2) and has a slope of 3. What is the equation of the function in slope-intercept form?

Answer 1

The equation of the function in slope-intercept form is y = 3 x + 5 .

Explanation:

Given as :

A line passes through the point ( - 1 , 2 )

i.e ( x , y ) = ( - 1 , 2 )

The slope of the line is 3

The equation of line in slope intercept form

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

Where m is the slope of the line

So, y - 2 = 3 ( x - ( - 1 ) )

Or, y - 2 = 3 ( x + 1 )

Or, y - 2 = 3 x + 3

Or, y = 3 x + 3 + 2

∴ y = 3 x + 5

Hence The equation of the function in slope-intercept form is y = 3 x + 5 . Answer