Graph the equation 3x + 4y = 12 using the x- and y- Intercepts

(4, 0) is the x-intercept

(0, 3) is the y-intercept

Now, find those two points on the graph, line up a ruler between them and draw your line.  Bingo!  You have graphed the equation

Step-by-step explanation:

The x-intercept occurs when y = 0 and the y-intercept occurs when x = 0

So, substitute 0 in for y            and substitute 0 in for x

                     3x + 4(0) = 12                   3(0) +4y = 12

                         3x + 0 = 12                      0 + 4y = 12

                          3x = 12                                  4y = 12

                            x = 4                                      y = 3

(4, 0) is the x-intercept

(0, 3) is the y-intercept

Now, find those two points on the graph, line up a ruler between them and draw your line.  Bingo!  You have graphed the equation

b

step-by-step explanation:

the equation of a line in point- slope form is

y - b = m(x - a)

where m is the slope and (a, b) a point on the line

calculate m using the slope formula

m = (y₂ - y₁ ) / (x₂ - x₁ )

with (x₁, y₁ ) = (0, 4) and (x₂, y₂ ) = (3, - 5) ← 2 points on the line

m = = = - 3

with m = - 3 and (a, b) = (3, - 5), then

y - (- 5) = - 3(x - 3), that is

y + 5 = - 3(x - 3) → b