slopes, graphs and plotting

Question

a line passes through the point (-8,-2) and has a slope of 5/2 write an equation in slope-intercept form for this line

Answer 1

y = mx + b. is the slope-intercept form of a line. We are given that m = 5/2 and it passes through (-8, -2).

Substituting these values into the equation will let us find b.

-2 = (5/2) (-8) + b

-2 = -20 + b

18 = b

Return to y = mx + b and insert values for m and b.

y =( 5/2) x + 18

Answer 2

We are looking for an equation like y = mx + q, and we need to determine the m (slope) and q (intercept) parameters.

We know the slope already m = 5/2 from the data. We need to determine q such that the resulting line passes through (-8,-2). We can do that by ensuring that (-8,-2) satisfies the equation, i.e.

-2 = (5/2) * (-8) + q ⇒. q = 18

Hence, the line we were lookign for reads. y = (5/2)x + 18