Question

Sketch the graph of:

y=4x+2

Answer 1

Given equation y = 4x+2

Draw a cordinate plane.

Answer 2

The equation is y = 4x + 2.

Write the equations in slope - intercept - form y = mx + b, where m is slope and b is y - intercept.

It is already in slope - intercept - form.

Compare the equation with slope - intercept - form y = mx + b.

slope = 4 and y - intercept is 2.

y - intercept is 2, so the line crosses the y - axis at (0, 2).

Using slope find the next point.

Slope = rise/run = 4/1.

Start at point (0, 2), move 4 units up and 1 unit right, then plot the point (1, 6).

Graph :