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Find a linear equation whose graph is the straight line with the given properties.
through (1, 4) with slope 6

Sagot :

Answer:

y = 6x - 2

Step-by-step explanation:

We will use the slope-intercept form of a line to help us.  We know the slope, we need to determine the y-intercept.  To find this, we need an x and y on the line and the slope.  Fortunately, they have given us all of the information.  An ordered pair is in the form (x,y)  So we will use x = 1 and y = 4 from the point they have given us (1,4)  They have also given us the slope of 6.  We will plug this all into our equation and solve for b  the y-intercept.

y = mx + b

4 = 6(1) + b  

4 = 6 + b  Subtract 6 from both sides of the equation.

-2 = b

Now, write the equation

y = mx + b

y = 6x -2