Algebra 2 Midterm

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 (m) is calculated using the formula m = (y2 - y1) / (x2 - x1).

The y-intercept is 4, which is the value of f(0).

First, solve for x: $$5x \leq 15$$ , so $$x \leq 3$$ . Then, graph a solid line at x = 3 and shade to the left.

Substituting x = -2 gives: $$-3(-2)^2 - 5(-2) + 7 = -3(4) + 10 + 7 = -12 + 10 + 7 = 5$$ .

The slope is -1, as it is the coefficient of x in the slope-intercept form.

A linear equation is an equation of the first degree, meaning it can be written in the form $$ax + by = c$$ , where a, b, and c are constants.

To convert $$Ax + By = C$$ to slope-intercept form, solve for y: $$y = -\frac{A}{B}x + \frac{C}{B}$$ .

The y-intercept is the point where the graph crosses the y-axis, indicating the value of y when x = 0.

The solution set is $$x > 2$$ .