S LOPE I NTERCEPT F ORM Algebra I. W HAT IS THE S LOPE I NTERCEPT F ORM ? y = mx + b Slope = rise run y-intercept (0,y)

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Presentation transcript:

S LOPE I NTERCEPT F ORM Algebra I

W HAT IS THE S LOPE I NTERCEPT F ORM ? y = mx + b Slope = rise run y-intercept (0,y)

H OW TO W RITE AN E QUATION U SING S LOPE : When a graph is given… Step 1, Plan : Know that an equation of a line has to be written in the slope intercept form. y = mx + b Step 2, Given : From the graph given, determine the y-intercept and the slope Step 3, Plug/Solve : plug in for the m and the b. Step 4, Write : Write a statement using the equation. EX: The equation of the line is …

E XAMPLE

H OW TO G RAPH AN E QUATION IN S LOPE - I NTERCEPT F ORM Step 1, Plan : Know that an equation of a line has to be written in the slope intercept form. y = mx + b Step 2, Given : From the graph given, determine the y-intercept and the slope Step 3, Plug/Solve : plot the y-intercept then use th slope to plot the second point. Step 4, Write : Write the equation across the line.

E XAMPLE

H OW TO G RAPH AN E QUATION IN S TANDARD F ORM Step 1, Plan : Isolate for y to put it in slope- intercept form from standard form Ax + By = C to y = mx + b Step 2, Given : From the equation given, recognize that it is in standard form Ax + By = C Step 3, Plug/Solve : to get the y by itself, do the opposite operation to both sides then simplify. Use the y-intercept and slope to plot the line. Step 4, Write : Write the equation across the line.

E XAMPLE