Answer:
[tex]y = -\frac{2}{3}x + 490[/tex]
gradient = = [tex]-\frac{2}{3}[/tex]
y-intercept = [tex]490[/tex]
Step-by-step explanation:
• The slope-intercept form of an equation takes the general form:
[tex]\boxed{y = mx + c}[/tex],
where:
m = slope,
c = y-intercept.
• We are given the equation:
[tex]2x + 3y = 1470[/tex]
To change this into the slope-intercept form, we must make y the subject:
[tex]3y = -2x + 1470[/tex] [subtract [tex]2x[/tex] from both sides]
⇒ [tex]y = -\frac{2}{3}x + \frac{1479}{3}[/tex] [divide both sides by 3]
⇒ [tex]y = -\frac{2}{3}x + 490[/tex]
• Comparing this equation with the general form equation, we see that:
m = [tex]-\frac{2}{3}[/tex]
c = [tex]490[/tex].
This means that the gradient is [tex]\bf -\frac{2}{3}[/tex], and the y-intercept is [tex]\bf 490[/tex].
