Question

The following diagrams show six lines with equations of the form y =mx +c

Answer 1

Answer:

  understand the meaning of m > 0 and c > 0.

Step-by-step explanation:

The slope-intercept form of the equation of a line tells you its slope and its y-intercept.

  y = mx +c . . . . line with slope m and y-intercept c

Slope (m)

The slope is the rate of increase moving from left to right. It is positive (m>0) when the line slants upward to the right. It is negative (m<0) when the line slants down to the right.

• m > 0: lines 3, 5, 6
• m < 0: lines 1, 2, 4

Y-intercept (c)

The y-intercept is where the line crosses the (vertical) y-axis. It is positive (c>0) when the line crosses above the x-axis, where y-values are positive. It is negative (c<0) when the line crosses below the x-axis. If the line passes through the origin, then c=0.

• c > 0: lines 4, 5
• c < 0: lines 1, 3
• c = 0: lines 2, 6