Distance from a point to a line, and between two parallel lines
Grade 10 Math Worksheet - Challenge Me
Circle the best answer, or write your answer on the line.
Tala studies two straight rails on a grid: y = 2x + 1 and y = 2x + 11. Give an exact answer, simplified. How far apart are the rails?
Zee studies two straight rails on a grid: y = x − 2 and y = x + 4. Give an exact answer, simplified. How far apart are the rails?
Ari studies two straight rails on a grid: y = (1/2)x + 3 and y = (1/2)x + 8. Give an exact answer, simplified. How far apart are the rails?
P and the line y = −2x + 3. The shortest route meets the line at a right angle. Esme sits on a park bench at P(-3, -1), near a straight path along y = −2x + 3. Give an exact answer, simplified. What is the shortest distance from P to it?
Jun walks a dog from a gate at P(6, -7), near a straight fence along y = (1/3)x + 1. Give an exact answer, simplified. What is the shortest distance from P to it?
Kira rides from a bike rack at P(0, -1), near a straight bike lane along y = −(1/2)x + 4. Give an exact answer, simplified. What is the shortest distance from P to it?
P and the line y = (3/2)x − 1. The shortest route meets the line at a right angle. Luz walks from a front door at P(-1, 4), near a straight sidewalk along y = (3/2)x − 1. Give an exact answer, simplified. What is the shortest distance from P to it?
Milo jogs from a water stop at P(1, -3) and goes the shortest way to a straight track along y = −2x + 4. Where does the route meet it?
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Grid
P and the line y = −(1/3)x + 2; the route from P meets the line at a right angle at F.
Ren sits on a park bench at P(6, 10) and goes the shortest way to a straight path along y = −(1/3)x + 2. Where does the route meet it?
Tala walks a dog from a gate at P(0, 14) and goes the shortest way to a straight fence along y = (2/3)x + 1. Where does the route meet it?