Which description best describes the solution to the following system of equations? y = −one halfx + 9
y = x + 7

Lines y = −one halfx + 9 and y = x + 7 intersect the x-axis.
Lines y = −one halfx + 9 and y = x + 7 intersect the y-axis.
Line y = −one halfx + 9 intersects the origin.
Line y = −one halfx + 9 intersects line y = x + 7.

What will the graph look like for a system of equations that has no solution? a. the lines will be perpendicular. b. the lines will cross at one point. c. both equations will form the same line. d. the lines will be parallel.

What is the next step in the given proof? choose the most logical approach. a. statement: m 1 + m 2 + 2(m 3) = 180° reason: angle addition b. statement: m 1 + m 3 = m 2 + m 3 reason: transitive property of equality c. statement: m 1 = m 2 reason: subtraction property of equality d. statement: m 1 + m 2 = m 2 + m 3 reason: substitution property of equality e. statement: 2(m 1) = m 2 + m 3 reason: substitution property of equality

If x varies directly as y, and x = 7.5 when y = 10, find x when y = 4