Question

Determine the slope and y-intercept of the line.
\(y=\dfrac43x-10.7\)

a.
Slope =\(\dfrac43x\)
y-intercept is (0, 10.7)

b.
Slope =\(\dfrac43\)
y-intercept is (0, 10.7)

c.
Slope =\(\dfrac43\)
y-intercept is (0, -10.7)

d.
Slope = -10.7
y-intercept is \(\dfrac43\)

Answer 1

This in slope-intercept form.
Compare [tex]y=\frac{4}{3}x-10.7[/tex] to [tex]y=mx+b[/tex].
[tex]m[/tex] is the slope.
[tex]b[/tex] is the y-intercept. (The y-intercept as an ordered pair is (0,b).)


Example:
The slope of [tex]y=-\frac{5}{7}x+10.5[/tex] is [tex]-\frac{5}{7}[/tex].
The y-intercept of [tex]y=-\frac{5}{7}x+10.5[/tex] is 10.5.
The y-intercept as an ordered pair is (0,10.5).

So what do you think the slope (the m value) and the y-intercept (the b value is)
of [tex]y=\frac{4}{3}x-10.7[/tex].

Let me know your thoughts.