# SOLUTION: write an equation for slope=2/5 and passes through (5,7)

Algebra ->  -> SOLUTION: write an equation for slope=2/5 and passes through (5,7)      Log On

 Ad: Algebrator™ solves your algebra problems and provides step-by-step explanations! Ad: Mathway solves algebra homework problems with step-by-step help!

Question 473191: write an equation for slope=2/5 and passes through (5,7)
Found 2 solutions by MathLover1, ewatrrr:
You can put this solution on YOUR website!

 Solved by pluggable solver: FIND a line by slope and one point What we know about the line whose equation we are trying to find out: it goes through point (5, 7) it has a slope of 0.4 First, let's draw a diagram of the coordinate system with point (5, 7) plotted with a little blue dot: Write this down: the formula for the equation, given point and intercept a, is (see a paragraph below explaining why this formula is correct) Given that a=0.4, and , we have the equation of the line: Explanation: Why did we use formula ? Explanation goes here. We are trying to find equation y=ax+b. The value of slope (a) is already given to us. We need to find b. If a point (, ) lies on the line, it means that it satisfies the equation of the line. So, our equation holds for (, ): Here, we know a, , and , and do not know b. It is easy to find out: . So, then, the equation of the line is: . Here's the graph:

You can put this solution on YOUR website!
```
Hi,
Using the standard slope-intercept form for an equation of a line y = mx + b
where m is the slope and b the y-intercept.
write an equation for slope=2/5 and passes through (5,7)
y =(2/5)x + b
7 = (2/5)*5 + b
5 = b
y = (2/5)x + 5

```