Question

Graph the line with slope (3)/(4) passing through the point (5,-3).

Answer 1

`\[ y - (-3) = (3)/(4)(x - 5) \]`

`\[ y + 3 = (3)/(4)x - (15)/(4) \]`

`\[ y = (3)/(4)x - (15)/(4) - 3 \]`

`\[ y = (3)/(4)x - (15)/(4) - (12)/(4) \]`

`\[ y = (3)/(4)x - (27)/(4) \]`

You have the equation of the line in slope-intercept form
`(\(y = mx + b\))`, where m is the slope and b is the y-intercept. The slope is
`\( (3)/(4) \)` and the y-intercept is
`\( -(27)/(4) \)`.