Answer:
y = - 3x + 10
Step-by-step explanation:
We have to write an equation of a straight line in slope-intercept form that passes through the points (3,1) and (0,10).
Now, the equation of the straight line (using two points form) will be
[tex]\frac{y - 1}{ 1 - 10} = \frac{x - 3}{3 - 0}[/tex]
⇒ y - 1 = - 3(x - 3)
⇒ y - 1 = 9 - 3x
⇒ y = - 3x + 10 (Answer)
{Since the slope-intercept form of a straight line equation is y = mx + c}
We know the equation of a straight line when any two points on the straight line ([tex]x_{1},y_{1}[/tex]), ([tex]x_{2},y_{2}[/tex]) are known, will be
[tex]\frac{y - y_{1} }{y_{1} - y_{2}} = \frac{x - x_{1} }{x_{1} - x_{2}}[/tex]
