Question

Could you please show me steps how to solve and graph?

Answer 1

Step 1:

`\text{slope}=(y2-y1)/(x2-x1)=(-2-1)/(4-0)=-(3)/(4)`

Step 2: The equation is of the form y = mx + b, where m is the slope and b is the intercept, so we use the point (0,1) to find the y-intercept:

`\begin{gathered} y=mx+b \\ 1=-(3)/(4)(0)+b \\ b=1 \end{gathered}`

y-intercept is 1

Step 3: The equation of the line in slope-intercept form is

`y=-(3)/(4)x+1`

Step 4: Graphing

for x = -4, y = 4

for x = 0, y = 1

for x =4, y = -2