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

Respuesta :

Answer:

Step-by-step 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

[tex]y=\frac{1}{4}(-3x+12)[/tex]

[tex]y=-\frac{3x}{4}+\frac{12}{4}[/tex]

[tex]y=-\frac{3x}{4}+3[/tex]

Here slope of the line is [tex]-\frac{3}{4}[/tex] and y-intercept is 3.

b). 2x + y = 1

y = -2x + 1

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