Writing Equations in Slope Intercept Form

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 $$m$$ can be calculated using the formula $$m = \frac{y_2 - y_1}{x_2 - x_1}$$ , where (x1, y1) and (x2, y2) are the two points.

The slope represents the rate of change of y with respect to x; it indicates how steep the line is.

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

Use the point-slope form $$y - y_1 = m(x - x_1)$$ and rearrange it to the slope-intercept form $$y = mx + b$$ .

The equation is $$y = 5x - 2$$ .

The equation is $$y = -3x - 7$$ .

The equation is $$y = -8x - 39$$ .

The equation is $$y = 2x + 6$$ .

A positive slope indicates that as x increases, y also increases, resulting in an upward slant of the line.