How do you find the slope and y intercept to sketch #7x+6y=30#?

1 Answer
Mar 4, 2018

See a solution process below:

Explanation:

This equation is in Standard Form for a Linear Equation. The standard form of a linear equation is: #color(red)(A)x + color(blue)(B)y = color(green)(C)#

Where, if at all possible, #color(red)(A)#, #color(blue)(B)#, and #color(green)(C)#are integers, and A is non-negative, and, A, B, and C have no common factors other than 1

#color(red)(7)x + color(blue)(6)y = color(green)(30)#

The slope of an equation in standard form is: #m = -color(red)(A)/color(blue)(B)#

Substituting the values from the equation in the problem gives:

#m = -color(red)(7)/color(blue)(6)#

The #y#-intercept of an equation in standard form is: #color(green)(C)/color(blue)(B)#

Substituting the values from the equation in the problem gives:

#color(green)(30)/color(blue)(6) = 5# or #(0, 5)#