Write the equation of a line from slope and a point
Write the equation of a line in the form y = mx + b, given its slope and one point on it. Unlimited questions, five difficulty levels, and a full worked solution every time — free.
Try one
A line has a slope of -3 and passes through the point (2, 2). What is the equation of the line, in the form y = mx + b?
- y = −3x + 2
- y = −3x + 8
- y = −3x - 8
- y = 3x + 8
Answer: y = -3x + 8
See one solved, step by step
A line has a slope of 5 and passes through the point (2, 7). What is the equation of the line, in the form y = mx + b?
- y = 5x + 7
- y = 5x - 3
- y = 5x + 3
- y = −5x - 3
📘 Worked solution
1y = 5x + bStart with slope-intercept form and use the given slope.
27 = 5 · 2 + bSubstitute the point (2, 7) in for x and y.
3b = 7 - (5 · 2) = −3Solve for b.
4y = 5x - 3Write the final equation using the slope and the y-intercept you found.
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