write the slope intercept form of the equation of the line through the given point with given slope.
1. through (2,3), slope=4
2. through (-1,4), slope= -7
3. through (-2,-7), slope= 2/5
4. through (-4,2), slope= -1/2
5. through (5, -3), slope= 1/6
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Write the slope intercept form of the equation of the line through the given point with given slope.
Problem 1:
1. through (2,3), slope=4
m = 4
y = mx + b
3 = 4(2) + b
3 - 8 = b
b = -5
y = mx + b
y = 4x - 5
Answer:
The equation of the line that passes through (2, 3) is:
y = 4x - 5 slope intercept form
Problem 2:
2. through (-1,4), slope= -7
m = -7
y = mx + b
4 = -7(-1) + b
4 - 7 = b
b = -3
y = mx + b
y = -7x - 3
Answer:
The equation of the line that passes through (-1, 4) is:
y = -7x - 3 slope intercept form
Problem 3:
3. through (-2,-7), slope= 2/5
m = 2/5
y = mx + b
-7 = 2/5(-2) + b
-7 + 4/5 = b
b = -31/5
y = mx + b
y = 2/5x - 31/5
Answer:
The equation of the line that passes through (-2,-7) is:
y = 2/5x - 31/5 slope intercept form
Problem 4:
4. through (-4,2), slope= -1/2
m = -1/2
y = mx + b
2 = -1/2(-4) + b
2 - 2 = b
b = 0
y = mx + b
y = - 1/2x
Answer:
The equation of the line that passes through (-4,2) is:
y = - 1/2x slope intercept form
Problem 5:
5. through (5, -3), slope= 1/6
m = 1/6
y = mx + b
-3 = 1/6(5) + b
-3 - 5/6 = b
b = -23/6
y = mx + b
y = 1/6x - 23/6
Answer:
The equation of the line that passes through (5, -3) is:
y = 1/6x - 23/6 slope intercept form
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