Question

60 points

Jeremy claims that if a linear function has a slope of the same steepness and the same y-intercept as the linear function in the graph, then it must be the same function.

On a coordinate plane, a line goes through points (0, negative 1) and (2, 0).

Which equation is a counterexample to Jeremy’s argument?
y = negative one-half x minus 1
y = negative one-half x + 1
y = one-half x minus 1
y = one-half x + 1

Answer 1

y = (1/2)x - 1

Explanation:

Slope a = (0 - -1)/(2 - 0) = 1/2

y-intercept (0, -1) => b = -1

=> y = (1/2)x - 1

Answer 2

On a coordinate plane, a line (y = ax + b) goes through points (0, -1) and (2, 0), we thus have:

Slope a = (0 - -1)/(2 - 0) = 1/2

Otherwise, y-intercept (0, -1) => b = -1

=> y = (1/2)x - 1

Hope this helps!

:)