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Problem 52

Find an equation of the line that satisfies the given condition. \text { The line passing through }(-3,4) \text { and parallel to the } x \text { -axis }

Problem 53

Find an equation of the line that satisfies the given condition. The line passing through \((-5,-4)\) and parallel to the line passing through \((-3,2)\) and \((6,8)\)

Problem 56

Find an equation of the line that satisfies the given condition. Given that the point \(P(2,-3)\) lies on the line \(-2 x+k y+\) \(10=0\), find \(k\)

Problem 57

Sketch the straight line defined by the linear equation by finding the \(x\) - and \(y\) -intercepts. $$ 3 x-2 y+6=0 $$

Problem 58

Sketch the straight line defined by the linear equation by finding the \(x\) - and \(y\) -intercepts. $$ 2 x-5 y+10=0 $$

Problem 59

Sketch the straight line defined by the linear equation by finding the \(x\) - and \(y\) -intercepts. $$ x+2 y-4=0 $$

Problem 60

Sketch the straight line defined by the linear equation by finding the \(x\) - and \(y\) -intercepts. $$ 2 x+3 y-15=0 $$

Problem 61

Sketch the straight line defined by the linear equation by finding the \(x\) - and \(y\) -intercepts. $$ y+5=0 $$

Problem 62

Sketch the straight line defined by the linear equation by finding the \(x\) - and \(y\) -intercepts. $$ -2 x-8 y+24=0 $$

Problem 63

Show that an equation of a line through the points \((a, 0)\) and \((0, b)\) with \(a \neq 0\) and \(b \neq 0\) can be written in the form $$ \frac{x}{a}+\frac{y}{b}=1 $$ (Recall that the numbers \(a\) and \(b\) are the \(x\) - and \(y\) -intercepts, respectively, of the line. This form of an equation of a line is called the intercept form.)

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