Write the slope-intercept form of the equation of the line through (4,1) and parallel to 2x+5y=10
+37159 Arrange given line into y = mx+b form to find slope , m
m = -2/5 parallel slope is the same
Here is your new line equation in POINT-SLOPE form
(y-1) = -2/5 (x-4) now re-arrange this into y = mx + b form
A second method:
new line is slope intercept form:
y = -2/5 x + b sub in the point given
1 = -2/5 (4) + b solve this for 'b'
then your new line is y = -2/5 x + b
