What are the intercepts of $y = 4x - 5$ ?

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Answer 1 · 2015-11-01T01:26:47

The y-intercept is $-5$ .

The x-intercept is $5/4$ .

$y=4x-5$ is in the form of the slope-intercept formula for a linear equation, $y=mx+b$ , where $m$ is the slope and $b$ is the y-intercept.

By definition, the y-intercept is $-5$ .

To find the x-intercept, make $y$ equal to zero and solve for $x$ .

$0=4x-5$

Add $5$ to both sides.

$5=4x$

Divide both sides by $4$ .

$5/4=x$

Switch sides.

$x=5/4$

The x-intercept is $5/4$ .

What are the intercepts of y = 4x - 5y = 4x - 5?