Writing the equation of a line given slope and a point

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Mathematics

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8th - 9th Grade

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Easy

R. Vargas

Used 9+ times

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4 Slides • 5 Questions

Writing the equation of a line given slope and a point

Aim: How do you write the equation of a line in slope-intercept form using a point and the slope?

Open Ended

What is the equation of the graph shown here?

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Open Ended

What is the equation of this graph?

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Open Ended

Write the equation for this graph.

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Example 1: Find the equation of the line that goes through point (3, 8) whose slope is 2/3.

1. Use the equation y = mx + b and replace all the information to find b (y-intercept)
y = mx + b ==> For point (3, 8); x = 3 and y = 8
8 = 2/3(3) + b ==> 8 = 2 + b
-2 -2
6 = b
2. Write the equation: y = 2/3x + 6

Example 2: Find the equation of the line that passes through point (4, -6) whose slope is -3/4.

1. Use the equation y = mx + b and replace all the information to find b (y-intercept).
y = mx + b ==> From point (4, -6); x = 4 and y = -6
-6 = -3/4(4) + b ==> -6 = -3 + b
Add 3 to both sides: +3 +3
b = -3
2. Write the equation: y = -3/4x - 3

Multiple Choice

Write the equation of the line whose slope is 2 and passes through (1, 4)

y = 2x - 2

y = 2x + 2

y = 2x - 7

y = 2x + 6

Multiple Choice

Write the equation of the line that passes through (-3, 5) and whose slope is 1/3.

y = 1/3x - 6

y = 1/3x - 5

y = 1/3x + 5

y = 1/3x + 6

Summary

To write the equation of a line when given a point and the slope, just replace into the equation y = mx + b.

• m will be the given slope.

•To find b (the y-intercept), just replace into the equation y = mx + b. X will be the first coordinate of the given point and y will be the second coordinate of the given point.

Writing the equation of a line given slope and a point

Aim: How do you write the equation of a line in slope-intercept form using a point and the slope?

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