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Back to Exercise: Writing equations of lines from slope/points

Exercises: Writing Equations of Lines

Point-slope form is usually the fastest starting point. Check what form the answer choices use before expanding anything.

Grade 10·18 problems·~32 min·Digital SAT Math·topic·sat-alg-lin2-write
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A

Warm-Up: Review What You Know

These review the forms you will use to write equations.

1

Which of these is point-slope form?

2

Substituting the point (5,−2)(5, -2) and slope 3 into point-slope form gives yy   ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲   =3(x= 3(x   ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲   )). Write each blank as a signed expression, for example '+ 4' or '- 4'.

y-side:
x-side:
B

Fluency Practice

Write each equation. Do not expand unless the question asks you to.

1

Write the equation of the line through (2,−5)(2, -5) with slope 3, in point-slope form.

2

A line passes through (1,4)(1, 4) with slope −2-2. When written as y=mx+by = mx + b, what is bb?

3

What is the slope of the line through (1,4)(1, 4) and (3,10)(3, 10)?

4

A line passes through (−2,7)(-2, 7) and (4,−5)(4, -5). What is its slope?

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