Question

What is the equation of a line with a slope of 5 that passes through the point at (-2, -7)?

Click on the numbers you want to select and drag them into the boxes.
-5
y=
-7
-3
17
x+
33
لیا
3
-17
5

Answer 1

Slope-Intercept Form

This is one way we can represent a linear relationship:

`y=mx+b`

• m = slope
• b = y-intercept

Solution

We're given:

• m = 5
• Passes through (-2,-7)

Plug 5 into y = mx + b:

`y=5x+b`

To solve for the y-intercept, plug in the given point and solve for b:

`y=5x+b\\(-7)=5(-2)+b\\(-7)=-10+b\\b=3`

Thus, our final equation is
`y=5x+3`.