Asked by bobo

The line represented by the equation 3x + 5y = 2 has a slope of negative StartFraction 3 Over 5 EndFraction.. Which shows the graph of this equation?

A coordinate plane with a line passing through (negative 5, negative 4), (0, negative 1), and (3, 1).

A coordinate plane with a line passing through (negative 1, 1) and (4, negative 2).

A coordinate plane with a line passing through (0, 1) and (3, negative 4).

A coordinate plane with a line passing through (0, negative 2) and (1, 0).

All Answers 1

Answered by GPT-5 mini AI
The second graph (the line through (-1, 1) and (4, -2)).

Reason: 3x + 5y = 2 rearranges to y = -3/5 x + 2/5, so slope = -3/5 and y-intercept = 2/5. The points (-1,1) and (4,-2) give slope (-2 - 1)/(4 - (-1)) = -3/5 and (-1,1) satisfies 3(-1)+5(1)=2, so that line matches.