FBISE, NCP & NBF-aligned resources for Classes 9–12
Browse by Class
Browse by Type
Math Chapter 7 : Topic 3
Gradient
1 / 25
The gradient of a line represents:
Reasoning: Gradient measures how much $y$ changes per unit change in $x$.
2 / 25
Find the gradient between points $(2,3)$ and $(6,7)$.
Reasoning: $m=$ $\frac{y_{2} - y_{1}}{x_{2} - x_{1}}=\frac{7 - 3}{6 - 2}=\frac{4}{4}=1$
3 / 25
If two points have same $y$-coordinate, the gradient is:
Reasoning: No vertical change$⟹ slope=0$
4 / 25
If two points have same $x$-coordinate, the gradient is:
Reasoning: Division by zero makes slope undefined.
5 / 25
Find slope of line joining $(1,2)$ and $(3,6)$.
Reasoning: $m=$ $\frac{y_{2} - y_{1}}{x_{2} - x_{1}}=\frac{6 - 2}{3 - 1}=\frac{4}{2}=2$
6 / 25
The slope of a horizontal line is:
Reasoning: No change in $y ⟹$slope $=0$
7 / 25
The slope of a vertical line is:
Reasoning: Denominator becomes zero.
8 / 25
Find gradient of $(- 2, - 3)$ and $(2, 1)$.
Reasoning: $m=$ $\frac{y_{2} - y_{1}}{x_{2} - x_{1}}=\frac{1 + 3}{2 + 2}=\frac{4}{4}=1$
9 / 25
If slope is positive, the line:
Reasoning: Positive slope means increasing $y$ as $x$ increases.
10 / 25
If slope is negative, the line:
Reasoning: Negative slope means $y$ decreases as $x$ increases.
11 / 25
Find slope between $(0,0)$ and $(4,8)$.
Reasoning: $m=$ $\frac{y_{2} - y_{1}}{x_{2} - x_{1}}=\frac{8}{4}=2$
12 / 25
Which condition makes slope undefined?
13 / 25
Slope of $(1,1)$ and $(4,1)$ is:
Reasoning: Same $y$-values$⟹$slope $=0$
14 / 25
Slope of $(2,3)$ and $(2,7)$ is:
Reasoning: Same $x$-values$⟹$undefined slope
15 / 25
If slope $=3$, it means:
Reasoning: Slope $=rise / run=3$
16 / 25
Find slope of $(- 1,2)$ and $(3,- 2)$.
Reasoning: $m=$ $\frac{y_{2} - y_{1}}{x_{2} - x_{1}}=\frac{- 2 - 2}{3 + 1}=-\frac{4}{4}=- 1$
17 / 25
If slope is zero, the line is:
Reasoning: No vertical change.
18 / 25
Slope depends on:
Reasoning: It uses differences in $x$ and $y$.
19 / 25
Find slope between $(5,3)$ and $(2,9)$.
Reasoning: $m=$ $\frac{y_{2} - y_{1}}{x_{2} - x_{1}}=\frac{9 - 3}{2 - 5}=\frac{6}{- 3}=- 2$
20 / 25
Slope of line joining identical points is:
Reasoning: No change in both $x$ and $y ⟹$indeterminate form
21 / 25
Which slope indicates a steep line?
Reasoning: Larger slope$⟹$steeper line
22 / 25
Slope of $(a,b)$ and $(c,d)$ is:
Reasoning: $m=$ $\frac{y_{2} - y_{1}}{x_{2} - x_{1}}=$ Equivalent expressions.
23 / 25
If slope is negative, points satisfy:
Reasoning: Decrease in $y$ with increase in $x$ gives negative slope.
24 / 25
Slope between $(0,5)$ and $(5,0)$ is:
Reasoning: $m=$ $\frac{y_{2} - y_{1}}{x_{2} - x_{1}}=\frac{0 - 5}{5 - 0}=- 1$
25 / 25
If slope is undefined, line is parallel to:
Reasoning: Vertical line is parallel to $y$-axis.
Your score is
Restart quiz
