Learn how to graph lines and understand slope with confidence.
y = −2x + 3
Graph a line
(2, 4) and (6, 10)
Find the slope
Write the equation of the line
through (3, -5) with slope -3/5
Graph y= -2x+3
Y-intercept is (0, 3). Slope is -2, so from there go down 2, right 1. Plot a second point at (1, 1) and draw
the line.
Find the slope through (2, 4) and (6, 10)
slope = (10-4)/(6-2) = 6/4 = 3/2
Equation of line through (3, -5) with slope -3/5
Use point-slope form: y -(-5)=-3/5(x-3)
y + 5 = -3/5(x-3)
y=-3/5x+9/5-5
y=-3/5x+9/5-25/5
y = -3/5x-16/5
Slope-Intercept Form y = mx + b
Point-Slope Form y-y₁ = m(x-x₁)
Point-Slope Form y-y₁ = m(x-x₁)
Point-Slope Form y-y₁ = m(x-x₁)
(a point on the line)
Standard Form Ax + By = C
Graph y= -2x+3
Y-intercept is (0, 3). Slope is -2, so from there go down 2, right 1. Plot a second point at (1, 1) and draw the line.
Find the slope through (2, 4) and (6, 10)
slope = (10-4)/(6-2) = 6/4 = 3/2
Equation of line through (3, -5) with slope -3/5
Use point-slope form: y -(-5)=-3/5(x-3)
y + 5 = -3/5(x-3)
y=-3/5x+9/5-5
y=-3/5x+9/5-25/5
y = -3/5x-16/5
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