Slope Intercept Form of a Straight Line

Q. Linear function is the function whose graph is a straight line.

1. True
2. False

Q.

If the lines of regression of $y$ on $x$ and that of $x$ on $y$ are $y=kx+4$ and $x=4y+5$ respectively, then

1. $k\le 0$

2. $k\ge 0$

3. $0\le k\le \frac{1}{4}$

4. $0\le k\le 1$

Q. What is slope of equation of straight line $ky=mx+kc$, where $m,k\&c$ are constants?

1. $\frac{m}{k}$
2. $\frac{m}{ck}$
3. $\frac{-c}{mk}$
4. $m$

Q.

Explain the Equation $y=mx+c$

Q.

A birch tree is $9$ feet tall and grows at a rate of $2$ feet per year. The table shows the height $\mathrm{h}$ of a willow tree after $\mathrm{x}$ years.

Does the table represent a linear or nonlinear function$?$

Q. A line passes through the $y-$axis at $y=3.$ It has a slope of $\frac{1}{3}$. Find the equation of the line.

1. $3y=x+9$
2. $3y=x+3$

Q. Find the equation of the line having slope$=-5$ and $y-$ intercept is $\frac{-3}{2}$

Q. What will be the equation of straight line passing from point $(-2,3)$, having slope of $2$?

1. $y=2x-7$
2. $y=2x+7$
3. $2y=x+3$
4. $3y+2y=1$

Q. Find the combined equation of the pair of lines, both passing through the point $(-4,5)$ and parallel to the axes of co-ordinates.

Q. A straight line passes through a fixed point $(h,k)$. Find the locus of feet of the perpendiculars, drawn from the origin to it.

Q. Which of the following is the equation of given line joining point A and point B? Express in slope-intercept form.

1. $2y=2x+5$
2. $y=\frac{2}{3}x+\frac{5}{3}$

Q. If the equation of the line drawn in the given figure is represented by $y=mx+b$, then which of the following is/are true?

1. $m<0$ and $b<0$
2. $m>0$ and $b<0$
3. $m<0$ and $b>0$
4. $m>0$ and $b>0$