Question

42. Graph the line that passes through the point (-3, 4) and

has a y-intercept of 1. What is the x-intercept of this line?

Answer 1

• see attached for a graph
• x-intercept: (1, 0)

Explanation:

You want a graph and the x-intercept of the line through (-3, 4) with y-intercept 1.

Slope

The slope formula gives you the slope you can use with the slope-intercept equation.

m = (y2 -y1)/(x2 -x1)

One point is given as (-3, 4). The y-intercept is (0, 1), so the slope is ...

m = (1 -4)/(0 -(-3)) = -3/3 = -1

Equation

Then the equation for the line is ...

y = mx +b

y = -1x +1

y = -x +1 . . . . simplify

X-intercept

The x-intercept is the point that has y-coordinate 0:

0 = -x +1

x = 1 . . . . . . add x

The line crosses the x-axis at x