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Slope-Intercept Form

Slope-intercept form — y = mx + b — reads off a line's slope and y-intercept at a glance. Learn what m and b mean and how to convert from point-slope form.

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What the form shows

The form y = mx + b separates a line's steepness (m, the slope) from its starting height (b, the y-intercept). That makes it the easiest form for graphing and for reading off features.

Converting into it

If you start from point-slope form, distribute the slope and move the constant to the other side. The coefficient of x becomes m and the lone number becomes b.

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Frequently asked questions

1

What is slope-intercept form?

Slope-intercept form is y = mx + b, where m is the slope and b is the y-intercept (where the line crosses the y-axis).

2

How do I turn point-slope form into slope-intercept form?

From point-slope form y − y₁ = m(x − x₁), distribute m and add y₁ to isolate y. The constant you get is the intercept b.

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