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The slope of the line, , is found by. where and are the coordinates of any two points in the line. The y-intercept, , is found by plugging in into the equation, which results in , and therefore is the y-intercept. In some cases, if the equation is already arranged for you nicely, like , we can easily find the y-intercept for this line, which is .
Convert to slope-intercept form #y=mx+b#, where #m# is the slope and #b# is the y-intercept, by solving for #y#. #y+1=2/3x+2# Subtract #1# from both sides. #y=2/3x+2-1# = #y=2/3x+1# The slope intercept is #1#.
Nov 3, 2014. If the slope of a line is undefined, then the line is a vertical line, so it cannot be written in slope-intercept form, but it can be written in the form: x = a, where a is a constant. Example. If the line has an undefined slope and passes through the point (2,3), then the equation of the line is x = 2. I hope that this was helpful.
So, to find an equation of a line that is parallel to another, you have to make sure both equations have the same slope. In the general equation of a line y = mx + b , the m represents your slope value. An example of paralell lines would therefore be: (1) y = mx + b. (2) y = mx + c. With b and c being any constants.
How do you find the equation in slope - intercept form, of the line passing through the points (-1, 2) and (3, -4)? Algebra Forms of Linear Equations Write an Equation Given Two Points 1 Answer
m = the slope and b = the y- intercept. Slope is determined by formula. m = y2 −y1 x2 −x1. if you had the coordinates of two points on the line. (x1,y1)(x2,y2) b is the point at which the line will cross (intercept) the y-axis. If a problem asked for the slope intercept form and provides a slope and a single point on the line you could find ...
Explanation: the equation of a line in slope-intercept form is. ∙ xy = mx + b. where m is the slope and b the y-intercept. rearrange 2x + 3y = 6 into this form. subtract 2x from both sides. ⇒ 3y = − 2x +6. divide all terms by 3. ⇒ y = − 2 3x +2 ← in slope-intercept form.
How do you write an equation in slope-intercept form of the line with parametric equations: x=2+3t and y=4+t?
Explanation: Slope = y1 − y2 x1 − x2 = m. By putting the x and y values for the two points into the slope equation the value for m can be found. The equation of a line in the slope intercept form is. y = mx + b. After finding m using the slope equation substitute one set of point values for y and x. This leaves b as the only unknown.
To find the x-intercept put y = 0. 8x −2(0) = 14. 8x = 14. x = 14 8 = 7 4. Answer link. Slope m=4 y-intercept -7 x-intercept 7/4 Given - 8x-2y=14 It is in the form ax+by=c If a linear equation is in this form, then - It slope is (-a)/b In our case, we shall use this formula m= (-8)/ (-2)=4 To find the y-intercept put x=0 8 (0)-2y=14 -2y=14 y ...