Question

Write each equation in slope-intercept form of the equation of a line. Underline the slope and circle the y-intercept in each equation.

a) 3x+4y–12=0

b) 2x+y=1

Answer 1

Explanation:

Slope-intercept form of the equation is y = mx + c

Where m = slope of the line

c = y- intercept

a). 3x + 4y - 12 = 0 [Standard form of the equation of a line]

4y + 3x = 12

4y = 12 - 3x

`y=(1)/(4)(-3x+12)`

`y=-(3x)/(4)+(12)/(4)`

`y=-(3x)/(4)+3`

Here slope of the line is
`-(3)/(4)` and y-intercept is 3.

b). 2x + y = 1

y = -2x + 1

Slope of the line is -2 and y intercept is 1