How do you find the slope and intercept of f(x) = 10x-7?

2 Answers
Jul 6, 2016

Slope: 10
f(x)-intercept: (-7)
color(white)("XXX")x-intercept: 7/10 (this may/may not) have been required)

Explanation:

The general slope-intercept form for a linear equation is
color(white)("XXX")f(x)=color(green)(m)x+color(blue)(b)
with slope color(green)(m) and f(x)-intercept color(blue)(b)

The given equation
color(white)("XXX")f(x)=color(green)(10)xcolor(blue)(-7)
is in this form with slope color(green)(10) and f(x)-intercept color(blue)(""(-7))

If the x-intercept is required:
the x-intercept is the value of x when f(x)=0
color(white)("XXX")0=10x-7
color(white)("XXX")rarr 10x=7
color(white)("XXX")rarr x=7/10

Jul 6, 2016

slope =10 and the y-intercept = -7
The x-intercept is 7/10

Explanation:

Remember that f(x) is the same as y.

y = 10x-7

This equation is therefore already in the form y = mx + c

The slope is 10 (the numerical coefficient of x) and the y-intercept is -7 (c)

To find the x-intercept, make y = 0 and solve for x

10x = 7
x= 7/10