Finding X & Y Intercepts and Slope Intercept Form

Mr. Allen introduces linear equations in standard form, explaining how to find x and y intercepts using the cover-up method. He demonstrates converting these equations into slope-intercept form, highlighting the ease of finding intercepts in standard form. Two example problems illustrate these concepts, showing step-by-step solutions for finding intercepts and converting forms.

What is the primary purpose of standard form in linear equations?

• To easily find the x-intercept

• To easily find the x and y intercepts

• To easily find the y-intercept

• To easily find the slope

What value is y set to when finding the x-intercept?

• 0

• 10

• 5

• 1

What is the x-intercept of the equation 2x + 6y = 10?

• 0

• 10

• 5

• 2

What value is x set to when finding the y-intercept?

• 5

• 1

• 0

• 10

What is the y-intercept of the equation 2x + 6y = 10?

• 5/3

• 2

• 10

• 0

What is the first step in converting 2x + 6y = 10 to slope-intercept form?

• Multiply by 6

• Add 2x to both sides

• Subtract 2x from both sides

• Divide by 6

What is the slope-intercept form of the equation 2x + 6y = 10?

• y = 1/3x - 5/3

• y = -1/3x - 5/3

• y = -1/3x + 5/3

• y = 1/3x + 5/3

What is the x-intercept of the equation 3x - 4y = 48?

• 0

• 16

• 12

• 48

What is the y-intercept of the equation 3x - 4y = 48?

• -12

• 12

• 48

• 0

What is the slope-intercept form of the equation 3x - 4y = 48?

• y = 3/4x - 12

• y = -3/4x + 12

• y = 3/4x + 12

• y = -3/4x - 12