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M1T2 Lesson 4 Skills Practice: Point-Slope Form of a Line

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Asemmisa {{asɛmmisaAhyɛnsode}}
1.

Use point-slope form to write an equation for a line with the given information. Then, write the equation in slope-intercept form.

The slope is 3. The point (1, 2) lies on the line.

point-slope form:

Slope-intercept form:

Asemmisa {{asɛmmisaAhyɛnsode}}
2.

Use point-slope form to write an equation for a line with the given information. Then, write the equation in slope-intercept form.

The slope is 4. The point (0, -6) lies on the line.

point-slope form:

Slope-intercept form:

Asemmisa {{asɛmmisaAhyɛnsode}}
3.

Use point-slope form to write an equation for a line with the given information. Then, write the equation in slope-intercept form.

The slope is $\frac{3}{4}$. The point (-4, -5) lies on the line.

point-slope form:

Slope-intercept form:

Asemmisa {{asɛmmisaAhyɛnsode}}
4.

Use point-slope form to write an equation for a line with the given information. Then, write the equation in slope-intercept form.

The slope is $-\frac{1}{5}$. The point (-10, 3) lies on the line.

point-slope form:

Slope-intercept form:

Asemmisa {{asɛmmisaAhyɛnsode}}
5.

Use point-slope form to write an equation for a line with the given information. Then, write the equation in slope-intercept form.

The slope is 5. The point (3, 4) lies on the line.

point-slope form:

Slope-intercept form:

Asemmisa {{asɛmmisaAhyɛnsode}}
6.

Use point-slope form to write an equation for a line with the given information. Then, write the equation in slope-intercept form.

The slope is $-\frac{1}{3}$. The point (6, 0) lies on the line.

point-slope form:

Slope-intercept form:

Asemmisa {{asɛmmisaAhyɛnsode}}
7.

Write the equation of the line, given the following information, in slope intercept form. Use the formulas given to aid you.

slope formula: $\frac{y_{2}-y_{1}}{x_{2}-x_{1}}$

point-slope form: $y-y_{1}=m(x-x_{1})$

slope-intercept form: $y=mx+b$

Line passing through (-4, -3) and (0, -15).

Show all work.

Asemmisa {{asɛmmisaAhyɛnsode}}
8.

Write the equation of the line, given the following information, in slope intercept form. Use the formulas given to aid you.

slope formula: $\frac{y_{2}-y_{1}}{x_{2}-x_{1}}$

point-slope form: $y-y_{1}=m(x-x_{1})$

slope-intercept form: $y=mx+b$

Line passing through (10, 5) and (4, 0).

Show all work.

Asemmisa {{asɛmmisaAhyɛnsode}}
9.

Write the equation of the line, given the following information, in slope intercept form. Use the formulas given to aid you.

slope formula: $\frac{y_{2}-y_{1}}{x_{2}-x_{1}}$

point-slope form: $y-y_{1}=m(x-x_{1})$

slope-intercept form: $y=mx+b$

Line passing through (2, -7) and (-3, -9).

Show all work.

Asemmisa {{asɛmmisaAhyɛnsode}}
10.

Write the equation of the line, given the following information, in slope intercept form. Use the formulas given to aid you.

slope formula: $\frac{y_{2}-y_{1}}{x_{2}-x_{1}}$

point-slope form: $y-y_{1}=m(x-x_{1})$

slope-intercept form: $y=mx+b$

Line passing through (0, 5) and (3, -3).

Show all work.

Asemmisa {{asɛmmisaAhyɛnsode}}
11.

Write the equation of the line, given the following information, in slope intercept form. Use the formulas given to aid you.

slope formula: $\frac{y_{2}-y_{1}}{x_{2}-x_{1}}$

point-slope form: $y-y_{1}=m(x-x_{1})$

slope-intercept form: $y=mx+b$

Line passing through (0, -8) and (2, 6).

Show all work.

Asemmisa {{asɛmmisaAhyɛnsode}}
12.

Write the equation of the line, given the following information, in slope intercept form. Use the formulas given to aid you.

slope formula: $\frac{y_{2}-y_{1}}{x_{2}-x_{1}}$

point-slope form: $y-y_{1}=m(x-x_{1})$

slope-intercept form: $y=mx+b$

Line passing through (-1, 1) and (-3, -5).

Show all work.

Asemmisa {{asɛmmisaAhyɛnsode}}
13.

Asemmisa {{asɛmmisaAhyɛnsode}}
14.

Write a linear equation in slope-intercept form to represent the following.

Asemmisa {{asɛmmisaAhyɛnsode}}
15.

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16.

Asemmisa {{asɛmmisaAhyɛnsode}}
17.

Write a linear equation in slope-intercept form to represent the following.

Asemmisa {{asɛmmisaAhyɛnsode}}
18.

Write a linear equation in slope-intercept form to represent the following.

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19.

What is a 15% tip for a restaurant bill of $24?

A $50 item was marked up 20%. What is the total increased cost of the item?

Write a linear equation in slope-intercept form to represent the following.

Write a linear equation in slope-intercept form to represent the following.

Write a linear equation in slope-intercept form to represent the following.