Question15. Through $(4,1)$ and $(1,5)$
16. With $m=3$ and $x$-intercept $(5,0)$
17. Through $(-2,1)$ and $m=-2$
18. Parallel to $2 x+3 y=-5$ and passes through

Studdy Solution
Problem 18: Find the equation of the line parallel to $2x + 3y = -5$ and passes through a point.
4.1 Determine the slope of the given line by rewriting in slope-intercept form:
$$3y = -2x - 5$$ $$y = -\frac{2}{3}x - \frac{5}{3}$$
The slope $m = -\frac{2}{3}$.
4.2 Use the point-slope form $y - y_1 = m(x - x_1)$ with the given point, say $(x_0, y_0)$:
$$y - y_0 = -\frac{2}{3}(x - x_0)$$
4.3 Simplify to find the equation of the line. (Note: The specific point is not given, so this step is incomplete without it.)
The equations for problems 15, 16, and 17 are:
15. $y = -\frac{4}{3}x + \frac{19}{3}$
16. $y = 3x - 15$
17. $y = -2x - 3$
Problem 18 requires a specific point to complete the solution.