Linear Equations in Slope Intercept Form Worksheet

**Page 1**

1.

What are the $x$ and $y$ intercepts of the line in the graph?

a. | $x$-intercept is - 2 and $y$-intercept is 2 | ||

b. | $x$-intercept is - 2 and $y$-intercept is - 2 | ||

c. | $x$-intercept is 2 and $y$-intercept is - 2 | ||

d. | $x$-intercept is 2 and $y$-intercept is 2 |

In the figure, the line crosses the

So, the

The

In the figure, the line crosses the

So, the

The

Correct answer : (4)

2.

Find the equation of a line whose slope is 4 and $y$-intercept is 5.

a. | $x$ = 5$y$ - 4 | ||

b. | $y$ = 4$x$ + 5 | ||

c. | $x$ = 4$y$ + 5 | ||

d. | $y$ = 5$x$ - 4 |

[Substitute

[Simplify the equation.]

The equation of the line in slope-intercept form is

Correct answer : (2)

3.

Write the equation of the line whose slope is -4 and $y$-intercept is - $\frac{2}{3}$.

a. | $y$ = 4$x$ - $\frac{2}{3}$ | ||

b. | $y$ = 4$x$ + $\frac{2}{3}$ | ||

c. | $y$ = -4$x$ - $\frac{2}{3}$ | ||

d. | None of the above |

[Substitute

[Simplify the equation.]

The equation of the line in slope-intercept form is

Correct answer : (3)

4.

Is the equation $\frac{\mathrm{(x-1)}}{1}$+ $\frac{\mathrm{(y-3)}}{3}$= 2^{4} + 4^{2} in slope-intercept form?

a. | No | ||

b. | Yes |

It is clear that the equation is not in the slope-intercept form.

Correct answer : (1)

5.

Identify the equation of the line in slope-intercept form for the graph shown.

a. | $y$ = $x$ - 3 | ||

b. | $y$ = - $x$ - 3 | ||

c. | $y$ = - $x$ + 3 | ||

d. | $y$ = $x$ + 3 |

From the graph, (

Slope

[Substitute the values of

[Simplify the fraction.]

The graph of the line crosses the

The

[Substitute the values of

[Simplify the equation.]

The equation of the line in slope-intercept form is

Correct answer : (1)

6.

Is the equation $y$ = 4$x$ + 3 in slope-intercept form?

a. | No | ||

b. | Yes |

The equation

So, the equation

Correct answer : (2)

7.

Find the slope of the line $y$ = $\frac{2}{3}$$x$ + $\frac{1}{3}$.

a. | $\frac{2}{3}$ | ||

b. | $\frac{1}{3}$ | ||

c. | $\frac{3}{4}$ | ||

d. | None of the above |

[Given Equation.]

[Compare the equation with slope-intercept form equation.]

The slope of the line is

Correct answer : (1)

8.

What is the $y$-intercept of the line $y$ = $\frac{\mathrm{-(4x)}}{5}$+ $\frac{5}{6}$?

a. | $\frac{4}{6}$ | ||

b. | $\frac{5}{6}$ | ||

c. | $\frac{4}{5}$ | ||

d. | None of the above |

[Given Equation.]

[Compare the equation with slope-intercept form equation.]

The

Correct answer : (2)

9.

What is the slope of the line in the graph?

a. | 2 | ||

b. | -2 | ||

c. | 3 | ||

d. | -3 |

Slope

[Substitute the values of

[Simplify the fraction.]

The slope of the line shown in the graph is -2.

Correct answer : (2)

10.

Write the $x$ and $y$ intercepts of the line AB.

a. | $x$-intercept is -3 and $y$-intercept is -3 | ||

b. | $x$-intercept is -3 and $y$-intercept is 3 | ||

c. | $x$-intercept is 3 and $y$-intercept is -3 | ||

d. | None of the above |

In the figure, the line crosses the

So, the

The

In the figure, the line crosses the

So, the

The

Correct answer : (2)