Write The Equation Of A Line Worksheet
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1WRITE THE EQUATION OF A LINE
Formulas
Slope formula:
Slope-intercept form:
Point-slope form
1. Given:
Slope (m) and the y-intercept (0, b)
Use:
Slope-intercept form:
Example:
Write the equation of a line with a slope of 5 and a y-intercept of (0, -7).
Since m = 5 and (0, -7) is the y-intercept, b = -7, then substituting into the form
will give us
the equation of the line:
2. Given:
Slope (m) and point (x
, y
)
1
1
Use:
Point-slope form:
Example:
Write the equation of a line in slope-intercept form, with a slope of -3 and goes through the point (3, -2).
Since m=-3 and (3, -2) is the point (x
, y
), substitute into the form
1
1
.
3. Given:
Two points (x
, y
) and (x
, y
)
1
1
2
2
Use:
a.
b. Pick one of the two points and use point-slope form
Example:
Write the equation of a line in slope-intercept form that goes through the two points (-1, 4) and (2, -2).
a.
b. m = -2, using point (-1, 4)
4. Given:
An equation of a line with a parallel or perpendicular relationship and a point (x
y
).
1,
1
Use:
The given equation of a line and the relationship to find the slope. (Parallel use the same slope,
perpendicular use the opposite-reciprocal slope). Then use point-slope form.
Example:
Write the equation of a line in slope-intercept form that is perpendicular to 2x-3y = 6 and goes through
the point (-1, 2).
a. Solve the given equation for y to identify the slope.
b. Use
because it is the perpendicular slope to 2x-3y = 6, and point (-1, 2).
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