Nov 21, 2016 · A line parallel to the y-axis, passes through all points in the plane with the same x-coordinate. For this ...

Aug 29, 2017 · Any line parallel to the #x#-axis is a horizontal lines. The rule for horizontal lines is for each and every value of #x# , #y# is the same. So, for this problem, for each and every value of #x# , #y = 5#

Jun 19, 2015 · y=4 Your line, y=3 is a horizontal line passing through 3 (on the y axis). A line parallel to this one has to be again horizontal but this time passing through 4, i.e. y=4. A somewhat more rigorous approach would be to say that the slope m of y=3 is zero so using the relationship: y-y_0=m(x-x_0) you get: y-4=0(x+2) y=4

May 5, 2018 · #x=4" is a special case of the equation of a straight line "# #"in that it is a vertical line, parallel to the y-axis and "#

Jun 22, 2015 · Given -5x+y = -3 Add 5x to both sides to get: y = 5x+(-3) This is in slope-intercept form, being in the form: y = mx + c where m=5 is the slope and c = -3 is the intercept (the y coordinate of the intersection of the line with the y axis. Any line parallel to this will have the same slope, 5 (just a different value of c).

Lf a line is drawn parallel to the y axis through the point (4,2), then what would its equation be? How do you write an equation for a line that is parallel to #y=3x+7# and passes through (2,10)? How do you tell whether the lines for each pair of equations are parallel, perpendicular, or neither: #y=-4x+3, -2x+8y=5#?

Jul 22, 2015 · Note that if a line is vertical, all lines parallel to it are also vertical. For any two points #(x_1,y_1)# and #(x_2, y_2)# on a line the slope is defined as #(y_2-y_1)/(x_2-x_1)# BUT if the line is vertical #x_1 = x_2# for all points on the line and therefore the definition of the slope would require dividing by zero (which is undefined).

I would use first your equation to find the SLOPE of your line. Basically the slope is a number that tells you what the inclination of your line is. So, to find the parallel to your line you need a line with the same inclination...the same slope: Your line: y+3x=7 can be written (isolating the y on the left) as: y=-3x+7 this allows you to "read" immediately the slope of your line, the ...

Jan 8, 2018 · y=2x-6 The original formula for the slope is given in the form of y=mx+b, where m is the slope and b is the place where the line intersects the y axis, or "y-intercept". In a parallel line, the slope is the same, but the y-intercept is different. So, your m value remains the same, (m=2) but you pick a different b value. In order to choose the appropriate b value for the equation of …

Apr 1, 2015 · Parallel lines have the same slope. Think slope as the angle between the line and the x-axis. So it makes sense that the slopes have to be equal. y is the line with a slope of 3. The standart form formula is ax+by=c. The slope is: -a/b If you can't remember this, you can calculate the slope by selecting two random points on the line y. A = (0,-8) B = (1,-5) The slope is: (-8 - ( …