GizmosAnswerKey
MathGrade 8-10

Slope-Intercept Form of a Line Answer Key

Master the slope-intercept form y = mx + b and learn to write equations from graphs and tables.

Prior Knowledge Questions

Q1.How do you calculate slope from two points?

Answer

Slope = (y₂ - y₁) / (x₂ - x₁), also known as "rise over run".

Q2.What does a negative slope look like on a graph?

Answer

A negative slope means the line goes downward from left to right.

Q3.What is a horizontal line's slope?

Answer

A horizontal line has a slope of 0.

Activity A – Writing Equations

Q1.A line has slope 2 and y-intercept -3. Write its equation.

Answer

y = 2x - 3.

Q2.How do you find the equation of a line from a graph?

Answer

Identify the y-intercept (where line crosses y-axis) and calculate slope using two points, then write y = mx + b.

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