SLOPE INTERCEPT FORM Y = MX +B

SLOPE INTERCEPT FORM WHAT IS THE SLOPE INTERCEPT FORM? Y = MX +B a) M STANDS FOR THE SLOPE (RISE OVER RUN) b) B STANDS FOR THE Y – INTERCEPT (THE VERTICAL DISTANCE FROM THE ORIGIN)

SLOPE FORMULA TO FIND THE SLOPE YOU HAVE 2 OPTIONS: EITHER USE THE FORMULA OR COUNT ON YOUR GRAPH RISE/RUN 1. THE SLOPE FORMULA: Y 2 – Y 1 USE TWO POINTS (X 1, Y 1 ) AND (X 2, Y 2 ) X 2 – X 1 POINT: ( X, Y)

WRITING EQUATIONS WHEN ASKED TO WRITE AND EQUATION, YOU NEED TO KNOW TWO THINGS: 1) SLOPE 2) Y - INTERCEPT

THERE ARE THREE DIFFERENT TYPES OF PROBLEMS YOU WILL SEE HOW TO WRITE EQUATIONS 1 ST WAY: WHEN BOTH THE SLOPE AND Y-INTERCEPT IS GIVEN TO YOU. EXAMPLE 1) WRITE THE EQUATION IN SLOPE-INTERCEPT FORM OF A LINE THAT HAS A SLOPE OF 2 AND Y-INT. OF 6 SLOPE - Y-INT. – EQUATION –

EXAMPLE 2) WRITE THE EQUATION OF THE LINE GIVEN THE SLOPE OF -3 AND Y-INT. OF -4

2 ND WAY: WHEN THE SLOPE IS GIVEN AND A POINT IS GIVEN. EXAMPLE 3) WRITE THE EQUATION OF THE LINE THAT HAS LINE SLOPE OF 3 AND GOES THROUGH THE POINT (2, 1). SLOPE – Y-INT. _ EQUATION –

3 RD WAY: WHEN TWO POINTS ARE GIVEN. EXAMPLE 4) WRITE THE EQUATION OF THE LINE THAT GOES THROUGH THE POINTS (-2, 1) AND (4, 2). HINT: USE THE SLOPE FORMULA! SLOPE FORMULA _________________________ SLOPE – Y – INT. – EQUATION –

EXAMPLE 5) WRITE THE EQUATION OF THE LINE THAT GOES THROUGH THE POINTS (0, 1) AND (1, 4). EQUATION –

FIND THE SLOPE AND Y-INTERCEPT FROM AN EQUATION. IN ORDER TO FIND THE SLOPE AND Y-INTERCEPT, THE EQUATION MUST BE IN SLOPE INTERCEPT FORM. REMEMBER: IF THE EQUATION IS NOT SLOPE INTERCEPT FORM, YOU MUST SOLVE FOR Y.

EXAMPLE 6) Y = 3X - 7

EXAMPLE 7) Y = 3/4X

EXAMPLE 8) Y = 5

WHAT IF THE EQUATION IS NOT IN SLOPE INTERCEPT FORM? SOLVE FOR Y! EXAMPLE 9) 5X – 3Y = 6EXAMPLE 10) 2Y + 2 = 4X

YOU TRY!!