Straight Line Part 1 Quiz

The general equation of a line in two dimensions is
ax+by+c=0, where a and b are not both zero.

The slope intercept form of a straight line is y=mx+c, here slope m=3.

Slope is calculated as the "rise" (change in y) divided by the "run" (change in x). For any two points on the x-axis, the y-values are identical, so the change in y (rise) is zero, resulting in a slope of 0/run = 0.

The slope of the y-axis is undefined because it is a vertical line, and applying the slope formula (change in y) / (change in x) results in division by zero. For any two points on the y-axis, the x-coordinates are the same, making the "run" (change in x) equal to zero, which makes the slope undefined.

When slope is m and the line passes through origin, the equation is y=mx

Slope of a line parallel to x - axis is m = 0. Intercept of line with y axis c = 5. Putting the values in the line equation y = mx + c we get y = 5.

Slope m=tan θ. For 45°, m=1

Products of the slope of a line perpendicular to each other is -1. That is m1 x m2 = -1. If m2 = 2 then m2 = -1/2

Point (2, –2) satisfies x+y=0.

Changing the given equation into y = (2/3)x + 5/3. So m = 2/3