How do you write the equation of the line in slope intercept form passing through (1, 2) and (2, 5)?
3 Answers
y = 3x 1
Explanation:

Find the slope by using the formula
#(y_2y_1)/(x_2x_1)#
You wil get:#(52)/(21)#
Simplify to get 3 
Find the yintercept by plugging in one kf the pairs and the slope into the y = mx + b equation. It doesn’t matter which pair you use.
You see 2 = 3(1) + b
Solve for b
2 = 3 + b
1 = b
 Answer is y = 3x 1
Explanation:
the gradient/slope is the difference in the
so the equation of the line is
Use (1,2)
this gives
Explanation:
#"the equation of a line in "color(blue)"slopeintercept form"# is.
#•color(white)(x)y=mx+b#
#"where m is the slope and b the yintercept"#
#"to calculate m use the "color(blue)"gradient formula"#
#•color(white)(x)m=(y_2y_1)/(x_2x_1)#
#"let "(x_1,y_1)=(1,2)" and "(x_2,y_2)=(2,5)#
#rArrm=(52)/(21)=3#
#rArry=3x+blarrcolor(blue)"is the partial equation"#
#"to find b substitute either of the 2 given points into"#
#"the partial equation"#
#"using "(1,2)" then"#
#2=3+brArrb=23=1#
#rArry=3x1larrcolor(red)"equation in slopeintercept form"#