The slope intercept form is found by using this formula: y=mx+b. so the coefficient of x is the slope or 'm'. You can find the slope using this formula: y2-y1/x2-x1 wherein the first y is the y value of your coordinate (x,y) and the y2 is the second y value of the coordinate (x,y) The same applies to the x values. The first x value is the first part of your ordered pair ((x),y)..the x part. The second x value is the other 'part' of the ordered pair given to you...or ((x),y). If you're only given one x,y value, then you will need another formula y-y1=m(x-x1) and to find the slope. You only need fill in one of the values, the x1 and y1 values with your given point. You will almost always be given a slope and a point, or a graph which you can figure out the slope for, or two points.
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The coefficient of the x term gives the gradient of the slope.
Your statement is correct. y=mx+b when m is the slope and b is the y-intercept.
y = {slope}x + {y intercept}
No. In a linear equation, y = mx + b, the slope is m, and the x intercept is where mx + b = 0.