Question

Write the slop e intercept form of the equation of the line through the giren point with the girenslope.9) through: (-1,3), slope =-510) through: (-2,-3), slope =-111) through: (-5, 3), slope ---12) through: (2, 1), slope = 1Write the slope-intercept form of the equation of the line through the given points13) through: (5, 3) and (5, 4)14) through: (0, 4) and (2, 3)15) trough: (-1, 4) and (-4,-5)16) through: (-1, -2) and (-3,0)

Answer 1

In this case the answer is very simple.

To find the solution to the exercise we'll have to carry out several steps.

Step 01:

Data

slope = m = - 1 / 7

point (-5 , 3 ) x1 = -5 y1 = 3

Step 02:

Point-Slope Form of a Straight Line

`(y\text{ - y1) = m (x - 1)}`
`(y\text{ - 3) = }(-1)/(7)\cdot(x-(-5))`
`\begin{gathered} (y\text{ -3) = }(-1)/(7)(x\text{ +5)} \\ (y-3)\text{ = }(-x)/(7)\text{ -}(5)/(7)\text{ } \\ y\text{ = }(-x)/(7)\text{ -}(5)/(7)+3 \end{gathered}`
`\begin{gathered} y\text{ = }(-x)/(7)-(5+21)/(7) \\ y\text{ = }(-x)/(7)\text{ }+(16)/(7) \end{gathered}`

The answer is :

`y\text{ = }(-x)/(7)+(16)/(7)`