Question

Find the equation if the following lines, linear equation should be written in the slope - intercept form.

a. Which parallel to a line with slope 2, and passes through the point (-1,4)
b. Which cuts the x-axis at 5 and the y-axis at -2
c. Which is perpendicular to a line with gradient -2, and passes through (-2,3)

Answer 1

(a) Recall that the line through (h,k) with slope=m is

y-k = m(x-h)

(b) Recall the intercept form for a line is
x/a + y/b = 1

(c) perpendicular lines have slope m1 and m2, where m1 * m2 = -1

So, use these facts to get an initial equation, and then rearrange it to y=mx+b