The straight line through two points will have an equation in the form \(y = mx + c\). Then, we can find the value of \(c\), the \(y\)-intercept, by substituting the coordinates of one point into ...

Express the polar equation \(r=\cos 2\theta\) in rectangular coordinates. Find the maximum height above the \(x\)-axis of the cardioid \(r=1+\cos \theta\text{.}\) Sketch the graph of the curve whose ...

So the equation of the line through the points (3, 4) and (12, −2) is \(y = -\frac{2}{3}x + 6\) Finally, check by substituting the \(x\)-coordinate of the point (12, −2) into this equation: ...