Question

7. Consider the function y=3x+1 (1) Find the slope of this function ( 2 points) (2) Find the y intercept of this function ( 2 points) (3) Graph this function. Make sure plot at least two points.

Answer 1

Slope: 3, or m = 3

Y-intercept: 1, or (0, 1)

Graph: See attached.

Explanation:

This function is given in slope-intercept form, this means that the slope (m) and y-intercept (b) are easily seen. Slope-intercept form is given as y = mx + b where m is the slope and b is the y-intercept.

This means our slope of y = 3x + 1 is 3, and the y-intercept is 1.

See attached for the graph. First, we will graph the y-intercept which is (0, 1). Then, we will move three units up and one unit right and plot a point (given by the slope of 3) at (4, 1). Then, we will draw a straight line through these points and beyond them.