How do you find the slope and intercept of y35x=14?

1 Answer
Mar 9, 2016

Slope: 35
y-intercept: 14
x-intercept: 512

Explanation:

A way to find the slope and intercepts of a linear equation is to transform it into the slope-intercept form. Generally the slope-intercept form looks like this:

y=mx+b

Where m is the slope and b is the y-intercept.

In this case, the given is y35x=14, so we just have to transpose the term with the x variable into the other side of the equation.

[Solution]
y35x=14
y=35x14

Now that we have the slope-intercept form, we know from the equation that...

Slope -> m=35
y-intercept: 14

As for the x-intercept, we know that when the graph crosses the x-axis then the value of y is 0. So in order to compute for the x-intercept, we only need to evaluate the equation with y=0.

[Solution]
y35x=14
035x=14
35x=14
35x=14
x=(14)(53)
x=512