Question

Graph the line with slope -3/4passing through the point (-1,2)

Answer 1

In this case, we'll have to carry out several steps to find the solution.

Step 01:

Data:

slope = -3/4

point (-1 , 2)

Step 02:

equation of the line:

graph:

Point-slope form of the line

(y - y1) = m (x - x1)

x1 = -1

y1 = 2

(y - 2) = -3/4 (x - (-1))

`\begin{gathered} (y-2)=(-3)/(4)(x\text{ +1\rparen} \\ (y-2)=(-3)/(4)x-(3)/(4) \\ y\text{ = }(-3)/(4)x-(3)/(4)+2 \end{gathered}`
`y\text{ = }(-3)/(4)x+(5)/(4)`

Step 03:

graph:

points:

if x = 0, y:

`\begin{gathered} y\text{ =}(-3)/(4)(0)+(5)/(4) \\ y\text{ = }(5)/(4) \end{gathered}`

(0, 5/4) point1

(-1 , 2) point2

graph:

That is the full solution.