Question

Which graphed line represents an equation of a line with a slope of 2 and a point on the line of (1, 2)? A) red line B) blue line C) green line D) purple line

Answer 1

Answer: You've probably already seen the basic method for graphing straight lines; namely, make a T-chart, plot some points, put your ruler against them, and draw the line. But the "nice" form of a straight line's equation (being the slope-intercept form, y = mx + b) can make graphing even simpler and faster.

Step-by-step explanation:

Answer 2

The equation of the line must be 2x - 1

The equation of the line that represents an equation of a line with a slope of 2 and a point on the line of (1, 2) can be written in the form:

$y-y_0=m(x-x_0)$

m is the slope of the line

(x0, y0) is the point on the line

Substitute the given parameters into the formula to have:

$y-2=2(x-1)\\y - 1= 2x - 2\\y = 2x -2+1\\y = 2x-1$

Hence the equation of the line must be y= 2x - 1

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