Use the slope and y-intercept to graph this equation

Question

4x + 3y = 2x -1

Answer 1

First solve the equation for y, to bring it into the Slope-Intercept Form y = mx +b

4x + 3y = 2x -1 | -4x

3y = -2x - 1 | /3

y = -2/3x - 1/3

m (slope) = -2/3

b (y-intercept) = -1/3

Now draw the y-intercept into your graphing page as a point on the y-axis at -1/3 or -0.33

Now draw additional points going 2 units down and 3 units to the right for each point.

Now draw a line that connects all points, extending it to the ends of the coordinate system.

You are done.