Graph the linear function g(x)=−4+7x.

Answer 1

The function may be rewritten in slope-intercept form y=7x-4, where slope is 7 and y-intercept is -4. Starting at the y-intercept, (0,-4), y increases by 7 as x increases by 1, so the next point you plot will be (1, 3). If you want to plot a point to the left of the y-axis, just decrease y by 7 as you decrease x by 1, so the next point would be (-1, -11). Draw a line through the 3 plotted points. The line will slope upward sharply from left to right.

Alternately, you could just pick several values for x and plug them into the given equation to solve for y and then plot those points.