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The y-intercept is 1 Step 1. Find the slope using the equation m=(y_2-y_1)/(x_2-x_1), where m is the slope, and (x_1,y_1) and (x_2,y_2) are the two points on the line.
Slope = #( y_1-y_2)/(x_1-x_2)=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.
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. Slope the resulting equation for b.
If given a graph: the y-intercept passes through y-axis. Example: If a graph passes the y-axis at -1, then the y-intercept is -1. If you can not see the y-axis, you need to chose two points and create the equation of the parabola in standard or vertex form (using vertex and another point). Example on how to create an equation from the graph of the parabola (when y-axis cannot be seen): Vertex ...
See a solution process below: First, we need to determine the equation for the line going through the two points in the problem. The first thing we need to do for this is determine the slope of the line.
How do you find slope, point slope, slope intercept, standard form, domain and range of a line for Line F (6,0) (10,3)?
Step 1: Develop the slope-point form for the line Given two points #(color(red)(x_1),color(blue)(y_1))# and #(x_2,y_2)#
The equation of the line is y = x+1 The slope m= (y_2-y_1)/(x_2-x_1)= (4+3)/(3+4)=7/7=1 Let the equation of line in slope-intercept form is y=mx+c or y = 1*x+c=x+c Now the point (3,4) satisfies the equation as it is on the line.:. 4 = 3 +c or c=1 Hence the equation of the line is y = x+1 Verify that the other point also satisfies the line as -3 = -4+1[Ans]
b tends to be the y intercept which can be worked out given that you have the gradient and any coordinate of a point on that line. Just substitute them values in, rearrange to make b the subject which will give you the y-intercept (b). For example: y = 2x + b and you know that the coordinate (5, 2) lies on this function. Simple substitute them in and work out your value of b. 2 = 2(5) + b b ...
Algebra Forms of Linear Equations Write an Equation Given Two Points. 2 Answers ... find the y-intercept ...