Answer. Thus, x + 3y = 4 and x + y = 2 are pair of intersecting lines, and they intersect each other at (1, 1). Thus, x + 3y = 4 and x + 3y = 6 are pair of parallel lines. Thus, x + 3y = 4 and 2x + 6y = 8 are pair of coincident lines.

Using the slope-intercept form, the slope is 0 .

Divide by -4 on both sides. You get x/-4 = y OR y=x/-4, which is now in slope-intercept format. The slope (m) is found in front of x and since x/-4 is the same as -1/4x, then you have a slope of -1/4.

y = mx + b Slope-intercept form y = -0.33x + 231 Replace m with -0.33 and b with 231. Therefore, the equation is y = -0.33x + 231.

Any number that we can write as a decimal number, between 1.0 and 10.0, multiplied by a power of 10, is said to be in standard form.

Standard Form: the standard form of a line is in the form Ax + By = C where A is a positive integer, and B, and C are integers. Discussion. The standard form of a line is just another way of writing the equation of a line.

Summary. The slope-intercept form of a line is: y=mx+b where m is the slope and b is the y-intercept. The y-intercept is always where the line intersects the y-axis, and will always appear as (0,b) in coordinate form.

Using the slope-intercept form, the y-intercept is 3 .

Using the slope-intercept form, the slope is 73 . The equation of a perpendicular line to y=7×3−2 y = 7 x 3 – 2 must have a slope that is the negative reciprocal of the original slope.

3y=-7x-8, y=-(7/3)x-(8/3), so the slope is -(7/3). The y-intercept is -(8/3).