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_2-y_1)/(x_2-x_1)#
You wil get:#(5-2)/(2-1)#
Simplify to get 3 -
Find the y-intercept 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)"slope-intercept form"# is.
#•color(white)(x)y=mx+b#
#"where m is the slope and b the y-intercept"#
#"to calculate m use the "color(blue)"gradient formula"#
#•color(white)(x)m=(y_2-y_1)/(x_2-x_1)#
#"let "(x_1,y_1)=(1,2)" and "(x_2,y_2)=(2,5)#
#rArrm=(5-2)/(2-1)=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=2-3=-1#
#rArry=3x-1larrcolor(red)"equation in slope-intercept form"#