Exit Ticket: Matching Graphs with Equations

The slope-intercept form is given by the equation: $$y = mx + b$$ , where $$m$$ is the slope and $$b$$ is the y-intercept.

The slope is the coefficient of $$x$$ , which is $$2$$ .

The y-intercept is the point where the line crosses the y-axis, represented by the value of $$b$$ in the slope-intercept form $$y = mx + b$$ .

Substitute the x-value into the equation and see if the resulting y-value matches the given y.

The general form of a linear equation is $$Ax + By + C = 0$$ , where A, B, and C are constants.

A line is increasing if its slope is positive, meaning as x increases, y also increases.

A line is decreasing if its slope is negative, meaning as x increases, y decreases.

Start at the y-intercept (0, 1) and use the slope (-1) to find another point by going down 1 unit and right 1 unit.

A linear equation represents a straight line, while a linear inequality represents a region of the graph where the inequality holds true.

Set $$y = 0$$ and solve for $$x$$ : $$0 = 2x - 4$$ , which gives $$x = 2$$ .